Question: Solve the initial value problem a) dy/dt - y = 9e^(t) + 14e^(3t) , y(0)=9 y(t)= ? Solve the initial value problem 2(sin(t)dy/dt + cos(t)y)

Solve the initial value problem

a) dy/dt - y = 9e^(t) + 14e^(3t) , y(0)=9

y(t)= ?

Solve the initial value problem

2(sin(t)dy/dt + cos(t)y) = cos(t)sin^3(t)

f or0

Put the problem in standard form.

Then find the integrating factor,(t) = ?

and finally findy(t)= ?

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