Question
Find the general solution of each of the following differential equations.$d y+\left(2 x y-x e^{-x^{2}}\right) d x=0$
Step 1
The standard form of a first order linear differential equation is $\frac{dy}{dx} + P(x)y = Q(x)$. So, we can rewrite the given equation as: \[\frac{dy}{dx} + 2xy = xe^{-x^2}\] Show more…
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