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Beliebt Rechnen >

(dy)/(dt)=([3t^2+4t+2])/([2y-2]),y(0)=-1

Lösung

\frac{d y}{d t} = \frac{[ 3 t ^{2} + 4 t + 2 ]}{[ 2 y - 2 ]}, y (0) = - 1

Lösung

y = 1 - (t^{2} + 2) (t + 2)

Schritte zur Lösung

\frac{d y}{d t} = \frac{[ 3 t ^{2} + 4 t + 2 ]}{[ 2 y - 2 ]}

Solve separable ODE:

y = 1 - (t^{2} + 2) (t + 2)

y = 1 - (t^{2} + 2) (t + 2)

Graph

Beliebte Beispiele

(1+e^x)(dy)/(dx)+(e^xy)=0

(1 + e^{x}) \frac{d y}{d x} + (e^{x} y) = 0

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

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

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

y^'=(-xy^2)/4 ,y(0)=2

y^{^{'}} = \frac{- x y ^{2}}{4}, y (0) = 2

\frac{d y}{d t} - 4 y = 0