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Popular >

xy^'-x^2y=0

Solution

x y^{^{'}} - x^{2} y = 0

Solution

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

Solution steps

x y^{'} (x) - x^{2} y = 0

Solve separable ODE:

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

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

Graph

Popular Examples

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(dy}{dx}=\frac{xarctan(x))/y

\frac{d y}{d x} = \frac{x arctan ( x )}{y}

Frequently Asked Questions (FAQ)

What is the solution for xy^'-x^2y=0 ?
The solution for xy^'-x^2y=0 is y=e^{(x^2)/2+c_{1}}