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Beliebt Rechnen >

y^'=2y^2+xy^2,y(0)=1

Lösung

y^{^{'}} = 2 y^{2} + x y^{2}, y (0) = 1

Lösung

y = - \frac{2}{4 x + x ^{2} - 2}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{2}{4 x + x ^{2} - 2}

y = - \frac{2}{4 x + x ^{2} - 2}

Graph

Beliebte Beispiele

derivative of 1/(5-2x)

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

integral of (9-162x)/(sqrt(64-81x^2))

\int \frac{9 - 162 x}{64 - 81 x ^{2}} d x

integral of-2x*ln(x)

\int - 2 x \cdot ln (x) d x

tangent x^2-1/x

t an g e n t x^{2} - \frac{1}{x}

integral from 3 to 6 of (2x-3)/6

\int_{3}^{6} \frac{2 x - 3}{6} d x