Solving f'(x) = f(x) + x with f(0) = 3

[wowolala]

Find the function f(x) which satisfies f'(x)=f(x) + x, f(0)=3.

first do wen need to ingerate the derivative of f(x), and then put f(0)= 3 to find the constant value for c, ... am i right?


help , help

 

[nicksauce]

Do you know how to solve first order linear differential equations?

 

[flebbyman]

Rewrite it as y'-y=x and read this: http://en.wikipedia.org/wiki/Integrating_factor