# Math Help - Ordinary D.E - integrating factor method

1. ## Ordinary D.E - integrating factor method

Hi everyone

Need help to verify this working, thank you in advance for all your kind help & support.

$\frac{dy}{dx} + 5y=e^{-2x}$
Integral factor
$e^{\int5dx}=e^{5x}$

Multiply by U.F & integrate
$e^{5x}.y=\int e^{5x}.e^{-2x}dx + c$]
$ye^{5x}=\frac{1}{3}e^{3x}+c$ or
$y = \frac{1}{3}e^{-2x}+ce^{-5x}$

Thank you .

2. That iscorrect.