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Beliebt Rechnen >

(dy)/(dt)+sqrt([1+t^2])*e^{-t}y=0,y[0]=1

Lösung

\frac{d y}{d t} + [1 + t^{2}] \cdot e^{- t} y = 0, y [0] = 1

Lösung

y = e^{\int - e^{- t} t^{2} + 1 d t}

Schritte zur Lösung

\frac{d y}{d t} + [1 + t^{2}] \cdot e^{- t} y = 0

Solve separable ODE:

y = e^{\int - e^{- t} t^{2} + 1 d t}

y = e^{\int - e^{- t} t^{2} + 1 d t}

Beliebte Beispiele

(dz)/(dt)+e^{2t+2z}=0

\frac{d z}{d t} + e^{2 t + 2 z} = 0

(dy)/(dx)=4x^6sqrt(y)

\frac{d y}{d x} = 4 x^{6} y

(dy)/(dx)=xy^2e^x,y(0)=2

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

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

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

(dx}{dy}=\frac{1+x^2)/y

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