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Beliebt Rechnen >

y^'=xy-sin(x)e^{-x^2}y^3

Lösung

y^{^{'}} = x y - sin (x) e^{- x^{2}} y^{3}

Lösung

y = \frac{e ^{x^{2}}}{- 2 cos ( x ) + c _{1}}, y = - \frac{e ^{x^{2}}}{- 2 cos ( x ) + c _{1}}

Schritte zur Lösung

y^{'} (x) = x y - sin (x) e^{- x^{2}} y^{3}

Solve Bernoulli ODE:

y = \frac{e ^{x^{2}}}{- 2 cos ( x ) + c _{1}}, y = - \frac{e ^{x^{2}}}{- 2 cos ( x ) + c _{1}}

y = \frac{e ^{x^{2}}}{- 2 cos ( x ) + c _{1}}, y = - \frac{e ^{x^{2}}}{- 2 cos ( x ) + c _{1}}

Graph

Beliebte Beispiele

derivative of (ln(3)/x)

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\int_{0}^{\frac{π}{2}} 9 cos^{2} (x) d x

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\int 8 x (4 x^{2} + 3)^{6} d x

integral from 0 to 1 of 1/(sqrt(4-x^2))

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