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Beliebt Rechnen >

y^'-6xy=6x\sqrt[3]{y^2}

Lösung

y^{^{'}} - 6 x y = 6 x 3 y^{2}

Lösung

y = e^{3 x^{2} + 3 c_{1}} - 3 e^{2 x^{2} + 2 c_{1}} + 3 e^{x^{2} + c_{1}} - 1

Schritte zur Lösung

y^{'} (x) - 6 x y = 6 x 3 y^{2}

Solve Bernoulli ODE:

y = e^{3 x^{2} + 3 c_{1}} - 3 e^{2 x^{2} + 2 c_{1}} + 3 e^{x^{2} + c_{1}} - 1

y = e^{3 x^{2} + 3 c_{1}} - 3 e^{2 x^{2} + 2 c_{1}} + 3 e^{x^{2} + c_{1}} - 1

Graph

Beliebte Beispiele

y^{^{'}} + \frac{y}{2 x} = 0

(dy}{dx}=\frac{y^{1/2}ln(x))/x ,y(1)=0

\frac{d y}{d x} = \frac{y ^{\frac{1}{2}} ln ( x )}{x}, y (1) = 0

ydx-xdy=x(dy-ydx)

y d x - x d y = x (d y - y d x)

x^{2} y^{^{'}} - 2 - 3 y = 0

y^'+x^2y=x^2y^{-3}

y^{^{'}} + x^{2} y = x^{2} y^{- 3}