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Beliebt Rechnen >

y^'= x/(6y)

Lösung

y^{^{'}} = \frac{x}{6 y}

Lösung

y = \frac{x ^{2}}{6} + c_{1}, y = - \frac{x ^{2}}{6} + c_{1}

Schritte zur Lösung

y^{'} (x) = \frac{x}{6 y}

Solve separable ODE:

y = \frac{x ^{2}}{6} + c_{1}, y = - \frac{x ^{2}}{6} + c_{1}

y = \frac{x ^{2}}{6} + c_{1}, y = - \frac{x ^{2}}{6} + c_{1}

Graph

Beliebte Beispiele

(dy)/(dt)=0.12-(6y)/(50-2t)

\frac{d y}{d t} = 0.12 - \frac{6 y}{50 - 2 t}

integral of 3tan^2(x)

\int 3 tan^{2} (x) d x

(dy}{dx}=\frac{(y^2-y))/x

\frac{d y}{d x} = \frac{( y ^{2} - y )}{x}

(\partial)/(\partial x)(xe^x+2e^xy)

\frac{\partial}{\partial x} (x e^{x} + 2 e^{x} y)

derivative e^xx^7+14e^xx^6+42e^xx^5

d er i v a t i v e e^{x} x^{7} + 14 e^{x} x^{6} + 42 e^{x} x^{5}