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Popular >

xy^'=y^2+y

Solution

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

Solution

y = \frac{e ^{c_{1}} x}{1 - e ^{c_{1}} x}

Solution steps

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

Solve separable ODE:

y = \frac{e ^{c_{1}} x}{1 - e ^{c_{1}} x}

y = \frac{e ^{c_{1}} x}{1 - e ^{c_{1}} x}

Popular Examples

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\int sin^{5} (5 x) cos^{2} (5 x) d x

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

\int \frac{x}{x ^{2} + x + 2} d x

Frequently Asked Questions (FAQ)

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