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Popular Calculus >

xy^'=y+2x^2y

Solution

x y^{^{'}} = y + 2 x^{2} y

Solution

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

Solution steps

x y^{'} (x) = y + 2 x^{2} y

Solve separable ODE:

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

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

Graph

Popular Examples

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derivative of e^x*sin(2x)

derivative of sqrt(8x-x^2)

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(\partial)/(\partial x)(x-1)

Frequently Asked Questions (FAQ)

What is the solution for xy^'=y+2x^2y ?
The solution for xy^'=y+2x^2y is y=e^{x^2+c_{1}}x