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Differential Equations

Differential Equations. Separable Examples. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB. Use separation of variables to find the general solution to the given differential equation. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB.

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Differential Equations

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  1. Differential Equations Separable Examples Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  2. Use separation of variables to find the general solution to the given differential equation. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  3. Use separation of variables to find the general solution to the given differential equation. First, write the derivative in fraction form. Next do some algebra until all the y terms are on one side and t terms are on the other: Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  4. Use separation of variables to find the general solution to the given differential equation. First, write the derivative in fraction form. Next do some algebra until all the y terms are on one side and t terms are on the other: typically you want to leave constants on the t side Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  5. Use separation of variables to find the general solution to the given differential equation. First, write the derivative in fraction form. Next do some algebra until all the y terms are on one side and t terms are on the other: typically you want to leave constants on the t side Now we can integrate both sides and solve for y. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  6. Use separation of variables to find the general solution to the given differential equation. First, write the derivative in fraction form. Next do some algebra until all the y terms are on one side and t terms are on the other: typically you want to leave constants on the t side Now we can integrate both sides and solve for y. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  7. Use separation of variables to find the general solution to the given differential equation. First, write the derivative in fraction form. Next do some algebra until all the y terms are on one side and t terms are on the other: typically you want to leave constants on the t side Now we can integrate both sides and solve for y. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  8. Use separation of variables to find the general solution to the given differential equation. First, write the derivative in fraction form. Next do some algebra until all the y terms are on one side and t terms are on the other: typically you want to leave constants on the t side Now we can integrate both sides and solve for y. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  9. Use separation of variables to find the general solution to the given differential equation. First, write the derivative in fraction form. Next do some algebra until all the y terms are on one side and t terms are on the other: typically you want to leave constants on the t side Now we can integrate both sides and solve for y. This C is really eC. Since it is still arbitrary we can still call it C. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  10. Use separation of variables to find the general solution to the given differential equation. First, write the derivative in fraction form. Next do some algebra until all the y terms are on one side and t terms are on the other: typically you want to leave constants on the t side Now we can integrate both sides and solve for y. This C is really eC. Since it is still arbitrary we can still call it C. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  11. Use separation of variables to find the general solution to the given differential equation. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  12. Use separation of variables to find the general solution to the given differential equation. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  13. Use separation of variables to find the general solution to the given differential equation. We’ll need to use a substitution for the y integral: Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  14. Use separation of variables to find the general solution to the given differential equation. We’ll need to use a substitution for the y integral: Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  15. Use separation of variables to find the general solution to the given differential equation. We’ll need to use a substitution for the y integral: Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  16. Use separation of variables to find the general solution to the given differential equation. We’ll need to use a substitution for the y integral: C is an arbitrary constant, so we can multiply by -2 and still call it C Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  17. Use separation of variables to find the general solution to the given differential equation. We’ll need to use a substitution for the y integral: C is an arbitrary constant, so we can multiply by -2 and still call it C Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  18. Find a particular solution to the given initial value problem. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  19. Find a particular solution to the given initial value problem. First we separate and integrate Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  20. Find a particular solution to the given initial value problem. We can use a substitution for this integral First we separate and integrate Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  21. Find a particular solution to the given initial value problem. We can use a substitution for this integral First we separate and integrate Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  22. Find a particular solution to the given initial value problem. We can use a substitution for this integral First we separate and integrate Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  23. Find a particular solution to the given initial value problem. We can use a substitution for this integral First we separate and integrate Now we can find the constant from the initial value: Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  24. Find a particular solution to the given initial value problem. We can use a substitution for this integral First we separate and integrate Now we can find the constant from the initial value: Plugging this into our general solution we get Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  25. Find a particular solution to the given initial value problem. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  26. Find a particular solution to the given initial value problem. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  27. Find a particular solution to the given initial value problem. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  28. Find a particular solution to the given initial value problem. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  29. Find a particular solution to the given initial value problem. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  30. Find a particular solution to the given initial value problem. Find C from the initial value Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  31. Find a particular solution to the given initial value problem. Find C from the initial value Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  32. Find a particular solution to the given initial value problem. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  33. Find a particular solution to the given initial value problem. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  34. Find a particular solution to the given initial value problem. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  35. Find a particular solution to the given initial value problem. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  36. Find a particular solution to the given initial value problem. Don’t forget the +/- Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  37. Find a particular solution to the given initial value problem. Don’t forget the +/- Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  38. Find a particular solution to the given initial value problem. Don’t forget the +/- Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  39. Find a particular solution to the given initial value problem. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  40. Find a particular solution to the given initial value problem. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  41. Find a particular solution to the given initial value problem. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  42. Find a particular solution to the given initial value problem. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  43. Find a particular solution to the given initial value problem. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  44. Find a particular solution to the given initial value problem. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

  45. Find a particular solution to the given initial value problem. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB

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