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**1. Homework Statement**

dy/dt = -y + cos(pi*t)

**2. Homework Equations**

**3. The Attempt at a Solution**

first, i took the y to the other side and then found an integraing factor to be e^t;

multiplied the ODE by e^t then integrated both sides wrt t. i have the initial condition

y(2)=4

so my general solution is:

y = {(pi*sin(pi*t) + (cos(pi*t))/[pi(pi+1)] } + {e^t(4-1/(pi(pi+1)))}

Is this correct?