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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

y^{''}+18y^'+81y=t^{-2}e^{-9t}

y^{^{''}} + 18 y^{^{'}} + 81 y = t^{- 2} e^{- 9 t}

limit as x approaches-5 of (x^2-2)/(x+5)

x \to - 5 lim (\frac{x ^{2} - 2}{x + 5})

integral of 1/((x+1)(x^2+4))

\int \frac{1}{( x + 1 ) ( x ^{2} + 4 )} d x

-6y^{''}+54y^'=0,y(2)=1,y^'(-1)=1

- 6 y^{^{''}} + 54 y^{^{'}} = 0, y (2) = 1, y^{^{'}} (- 1) = 1

integral from 1 to 2 of 2x(1-1/(x^2))

\int_{1}^{2} 2 x (1 - \frac{1}{x ^{2}}) 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