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Class 1, #4 : Which if the following can NOT be the solution of a differential equation?

Learn about solutions of differential equations and their applications in modeling various situations like chemical decay. Determine which options represent valid solutions for given differential equations.

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Class 1, #4 : Which if the following can NOT be the solution of a differential equation?

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  1. Class 1, #4: Which if the following can NOT be the solution of a differential equation?

  2. Class 1, #5: Which if the following can NOT be the solution of a differential equation?

  3. Class 1, #6: TRUE or FALSE: “A differential equation is a type of function.” A. TRUE B. FALSE.

  4. Question 1: TRUE or FALSE: “A solution of a differential equation is a function.” A. TRUE B. FALSE.

  5. Question 2: TRUE or FALSE: “A solution of a differential equation is a unique function.” A. TRUE B. FALSE.

  6. Question 3: The amount of chemical in a lake is decreasing at a rate of 30% per year.If p(t) is the total amount of the chemical in the lake as a function of time t in years, which differential equation models this situation? A) p’(t)=-30B)p’(t)=-0.30C)p’(t)=p-30 D)p’(t)=-.3p E)p’(t)=0.7p

  7. Question 4: Consider the differential equation xy’+y=0.The solution of this DE is A. y =1/x, x > 0 B. y = 1/x, x≠0 C. y =0, x>0 D. y =0, for all x E. More than one of the above

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