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Popular Calculus >

y^'=xy

Solution

y^{^{'}} = x y

Solution

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

Solution steps

y^{'} (x) = x y

Solve separable ODE:

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

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

Graph

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Frequently Asked Questions (FAQ)

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