Question

Everything look good so far? Just want to check:

Answer 1

\(\Large x^2 y'+x (x+2)y=e^{-x}sin(2x) \)

\(\Large u(x)=e^{\int(1+\frac{2}{x})} =x^2e^x\)

Multiplied it in:

\(\Large x^2 e^x y'+x e^x(x+2) y = sin 2x\)

\(\Large \int (x^2 e^x*y)' dx = \int sin 2x \)

Answer 2

Forgot my little dx up in that integral but yeaa

Answer 3

Also you forgot to multiply x^2 to the right hand side

Answer 4

Yea, I skipped a lot of steps in between.. they end up canceling if I did everything right. Before I multiplied it out I got \(\LARGE= \frac{sin 2x}{x^2 e^{x}}\)

Answer 5

Ahh my mistake, yes it looks perfect! :)

Answer 6

Thanks Gane :P

Answer 7

np :)