Question

solve the following initial value problem.
dy/dx + a*y = f(x) with y(1)=2

Answer 1

\[e^{ax} y'+e^{ax} ay=e^{ax}f(x)\]
\[(e^{ax}y)'=e^{ax}f(x)\]

Answer 2

i have that, but how do you integrate both parts?

Answer 3

does f(x) = y ?

Answer 4

nope, that's all what's provided to me

Answer 5

hmm but it gives initial condition y(1) = 2
so im assuming we are solving for y(x) , hence a function of x...f(x)

Answer 6

i think that y is y and f(x) is just some function which can be anything

Answer 7

i think it should be integrated using definite integral somehow