Calculator first order differential equation

Differential equation y'+2xy=axe^(-x^2)

$$y^{\prime }\left(x\right)+2xy\left(x\right)=ax{e}^{-x^2}$$

The general solution of the first order differential equation is:

$y\left(x\right)=a{e}^{-x^2}\left(k+\frac{x^2}{2}\right)$

Calculator for the initial value problem: y'+2xy=axe^(-x^2) with the initial values x₀, y₀

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