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Beliebt Rechnen >

(dy)/(dt)=2te^{-y},y(0)=-2

Lösung

\frac{d y}{d t} = 2 t e^{- y}, y (0) = - 2

Lösung

y = ln (t^{2} + \frac{1}{e ^{2}})

Schritte zur Lösung

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

Solve separable ODE:

y = ln (t^{2} + \frac{1}{e ^{2}})

y = ln (t^{2} + \frac{1}{e ^{2}})

Graph

Beliebte Beispiele

y^{''}=4y,y(0)=0,y^'(0)=1

y^{^{''}} = 4 y, y (0) = 0, y^{^{'}} (0) = 1

y^{^{'}} = x (x - 1)

(y+x^3+xy^2)dx-xdy=0

(y + x^{3} + x y^{2}) d x - x d y = 0

integral of e^{1-x}x

\int e^{1 - x} x d x

integral of (x-1)sqrt(x)

\int (x - 1) x d x