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Popular Calculus >

(xdy)/(dx)=-y+2x^2y

Solution

\frac{x d y}{d x} = - y + 2 x^{2} y

Solution

y = \frac{e ^{x^{2} + c_{1}}}{x}

Solution steps

\frac{x d y}{d x} = - y + 2 x^{2} y

Solve separable ODE:

y = \frac{e ^{x^{2} + c_{1}}}{x}

y = \frac{e ^{x^{2} + c_{1}}}{x}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (xdy)/(dx)=-y+2x^2y ?
The solution for (xdy)/(dx)=-y+2x^2y is y=(e^{x^2+c_{1}})/x