- #1

- 1,015

- 1

## Homework Statement

Find the exact solution to this problem

y'=4x–y+9;y(0)=6

## The Attempt at a Solution

I am panicing because I have an exam tomorrow and I can't remeber a lot of the basics for diff eq. I tried to solve this using 2nd order style...

first I made it

y'-y=4x+9

For natural solution i do

r+1=0

r=-1

natural solution = A*e^(-x)

How do I get the forced soution?

And how would I do it on a second order equation so like

y''+By'+y = some x terms

I know how to do natural solutions... its the forced that keeps getting me