$\begin{array}{rcl}2xy\frac{dy}{dx}+(1+x){y}^{2}& =& {e}^{x}\end{array}$

I do not know how to solve this problem. I do not believe it is a separable differential equation. Could somebody point me in the right direction?

hornejada1c
2022-07-15
Answered

Please consider the following differential equation:

$\begin{array}{rcl}2xy\frac{dy}{dx}+(1+x){y}^{2}& =& {e}^{x}\end{array}$

I do not know how to solve this problem. I do not believe it is a separable differential equation. Could somebody point me in the right direction?

$\begin{array}{rcl}2xy\frac{dy}{dx}+(1+x){y}^{2}& =& {e}^{x}\end{array}$

I do not know how to solve this problem. I do not believe it is a separable differential equation. Could somebody point me in the right direction?

You can still ask an expert for help

eurgylchnj

Answered 2022-07-16
Author has **14** answers

Let $u=x{y}^{2}$

$\frac{du}{dx}+u={e}^{x}$

Can you take it from here?

$\frac{du}{dx}+u={e}^{x}$

Can you take it from here?

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