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Popular >

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

Popular Examples

derivative of (1+5x^2(x-x^2))

\frac{d}{d x} ((1 + 5 x^{2}) (x - x^{2}))

limit as x approaches 0 of 2/(x^2(x+7))

x \to 0 lim (\frac{2}{x ^{2} ( x + 7 )})

derivative of e^x*sin(2x)

\frac{d}{d x} (e^{x} \cdot sin (2 x))

derivative of sqrt(8x-x^2)

\frac{d}{d x} (8 x - x^{2})

integral of 6cos(6x)-5

\int 6 cos (6 x) - 5 d x

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