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Popular >

xy^'=-y+2x^2y

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

derivative of e*ln(x)

\frac{d}{d x} (e \cdot ln (x))

integral of e^{x+5}(x^2+3)

\int e^{x + 5} (x^{2} + 3) d x

derivative of (x^2+5x+1(x^3-2x))

\frac{d}{d x} ((x^{2} + 5 x + 1) (x^{3} - 2 x))

y^{^{'}} + 4 y = - 1

(dy)/(dx)=(sqrt(y)-y)/(tan(x))

\frac{d y}{d x} = \frac{y - y}{tan ( 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