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IB HL Mathematics

IB HL Mathematics. Topic 9 - Option : Calculus 9.5 First-order differential equations. Solving differential equations. By separation of variables. First order DEs with separable variables. Examples:. To solve these equations we need to re-arrange them as.

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IB HL Mathematics

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  1. IB HL Mathematics Topic 9 - Option: Calculus 9.5 First-order differential equations.

  2. Solving differential equations. • By separation of variables. First order DEs with separable variables. Examples:

  3. To solve these equations we need to re-arrange them as and integrate both sides of the equation.

  4. Example 1: Solve Hyperbolic slope fields show the solution curve shape.

  5. circle, centre (0,0), radius

  6. Show that the general solution to the differential equation can be written as Example 2: Slope field shows an exponential shape

  7. using integration by parts is the general implicit solution Example 3: Solve the following differential equation is the general solution

  8. Solve the following DEs: ANSWERS:

  9. Watch the video: https://www.youtube.com/watch?v=nNHlSB6b1HU

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