Modeling with Differential Equations: Quiz

Problem 1

1. 
2. y = 4cos(x) + 4sin(x)
3. y = x cos(x)
4. y = e^x sin(x)

Answers, problem 1

The solution is

4. y = e^x sin(x)

Check this by finding the fourth derivative of y and subsitituting into the differential equation.

y′ = e^xsin(x) + e^x cos(x)

y′′ = 2e^x cos(x)

y′′′ = 2e^x cos(x) – 2e^x sin(x)

y′′′′ = –4e^x sin(x)

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