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Beliebt Rechnen >

derivative of (y^2)=y^2x

Lösung

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

Lösung

y = e^{\frac{x ^{2}}{4} + c_{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{\frac{x ^{2}}{4} + c_{1}}

y = e^{\frac{x ^{2}}{4} + c_{1}}

Graph

Beliebte Beispiele

(dy}{dx}=\frac{x^3+1)/y ,y=2,x=1

\frac{d y}{d x} = \frac{x ^{3} + 1}{y}, y = 2, x = 1

(dy)/(dx)y-6x^3+cos(x)=0

\frac{d y}{d x} y - 6 x^{3} + cos (x) = 0

y^'=(xy^3)/5 ,y(0)=5

y^{^{'}} = \frac{x y ^{3}}{5}, y (0) = 5

(dx)/(dy)= 4/(xe^y)

\frac{d x}{d y} = \frac{4}{x e ^{y}}

y^'=-x/y ,y(4)=-3

y^{^{'}} = - \frac{x}{y}, y (4) = - 3