Math Help - differential equation working

1. differential equation working

Hello, I am looking at the differential equation:
dR/DΘ + R = e^-Θ * sec^2Θ

I understand how to use e^(integral of e^(1dΘ) to multiply both sides which gives me:

(looking at left hand side of equation only)
e^Θ * dR/dΘ + e^Θ * R

However I am not sure how to further simplify the left hand side of the equation before integrating.
Can someone please show me the process for doing that.

Thanks kindly for any help.

2. Re: differential equation working

now you can use the property -

$\frac{du}{d\theta}v+\frac{dv}{d\theta}u=\frac{duv} {d\theta}$

where $u=e^\theta$ and $v=R$

eventually you'll get

$\frac{d(e^\theta R)}{d\theta}=\sec^2\theta$