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Beliebt Rechnen >

y^'=y^2e^{-t},y(0)=0.5

Lösung

y^{^{'}} = y^{2} e^{- t}, y (0) = 0.5

Lösung

y = \frac{e ^{t}}{1 + e ^{t}}

Schritte zur Lösung

y^{'} (t) = y^{2} e^{- t}

Solve separable ODE:

y = \frac{e ^{t}}{1 + e ^{t}}

y = \frac{e ^{t}}{1 + e ^{t}}

Graph

Beliebte Beispiele

y^'=(yx^2+x^2)^2

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

y^'-3y=0,y(0)=1

y^{^{'}} - 3 y = 0, y (0) = 1

(dy)/(dx)=(x^3)/((y+2)^2),y(0)=-1

\frac{d y}{d x} = \frac{x ^{3}}{( y + 2 ) ^{2}}, y (0) = - 1

x^{^{'}} = 4 + 2 x

(dy)/(dx)=-k(y-70),y(0)=205

\frac{d y}{d x} = - k (y - 70), y (0) = 205