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Beliebt Rechnen >

3e^{-2y}x^2+8xe^{-2y}=(dy)/(dx)

Lösung

3 e^{- 2 y} x^{2} + 8 x e^{- 2 y} = \frac{d y}{d x}

Lösung

y = \frac{ln ( 2 x ^{3} + 8 x ^{2} + c _{1} )}{2}

Schritte zur Lösung

3 e^{- 2 y} x^{2} + 8 x e^{- 2 y} = \frac{d y}{d x}

Solve separable ODE:

y = \frac{ln ( 2 x ^{3} + 8 x ^{2} + c _{1} )}{2}

y = \frac{ln ( 2 x ^{3} + 8 x ^{2} + c _{1} )}{2}

Graph

Beliebte Beispiele

2 y y^{^{'}} = 1 + (y^{^{'}}) 2

x y^{^{'}} = y^{2} - 1

(x^3+1)/(x^2)(dy)/(dx)= 1/y

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

y y^{^{'}} = - 5 x

(dy)/(dx)-(2x)/(x^2+1)y=-(2x)/(x^2+1)

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