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Beliebt Rechnen >

(y^2dy)/(y^3-4)=(xdx)/(x^2+2)

Lösung

\frac{y ^{2} d y}{y ^{3} - 4} = \frac{x d x}{x ^{2} + 2}

Lösung

y = 3 c_{1} (x^{2} + 2)^{\frac{3}{2}} + 4

Schritte zur Lösung

\frac{y ^{2} d y}{y ^{3} - 4} = \frac{x d x}{x ^{2} + 2}

Solve separable ODE:

y = 3 c_{1} (x^{2} + 2)^{\frac{3}{2}} + 4

y = 3 c_{1} (x^{2} + 2)^{\frac{3}{2}} + 4

Graph

Beliebte Beispiele

(dr)/(dt)=0.1872*r,r(0)=24

\frac{d r}{d t} = 0.1872 \cdot r, r (0) = 24

sqrt(1+x^3)y^'=x^2y+x^2

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

y^'=-y/x ,y(1)=3

y^{^{'}} = - \frac{y}{x}, y (1) = 3

(dy)/(dx)=(xe^{2x-y})/(e^{x-2y)}

\frac{d y}{d x} = \frac{x e ^{2 x - y}}{e ^{x - 2 y}}

(dy)/(dt)=(ty^2)^2

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