- #1

Jtechguy21

- 51

- 0

## Homework Statement

Solve

Dy/Dx + 1 + y + x=(x+y)^2 e^(3x)

Hint: Use the substitution u=x+y

## Homework Equations

Since u=x+y

Du/dx=1dy/dx

## The Attempt at a Solution

So basically the first thing I did was utilize my substitution.

Dy/Dx + 1 +y + x=u^(2)e^(3x)

next i solved for y. y=u-x

Dy/Dx +1+(u-x)+x=U^2*e^(3x)

My x's cancel out

Dy/Dx +1+u=u^2*e^(3x)

I divided both sides by u^2

Dy/dx+(1/u^2)+(1/u)=e^(3x)

I have no idea what to do next.

since this isn't in the form

Dy/dx+p(x)y=f(x) <-Linear form

maybe I am approaching this problem incorrectly?

any guidance would be appreciated