Question: Problem 5 : Consider the first order differential equation in differential form: ( y 2 e x + y 3 e 3 x + x

Problem 5: Consider the first order differential equation in differential form:
(y2ex+y3e3x+x2)dx+(2yex+y2e3x+3y2)dy=0
(a) Is this equation exact?
(b) Solve the ODE.
(c) Solve the initial value problem described by the ODE with the additional condition y(0)=1.
Problem 5 : Consider the first order differential

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