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Beliebt Rechnen >

(dy)/(dt)=-4y+3e^{-t}

Lösung

\frac{d y}{d t} = - 4 y + 3 e^{- t}

Lösung

y = \frac{1}{e ^{t}} + \frac{c _{1}}{e ^{4 t}}

Schritte zur Lösung

\frac{d y}{d t} = - 4 y + 3 e^{- t}

Solve linear ODE:

y = \frac{1}{e ^{t}} + \frac{c _{1}}{e ^{4 t}}

y = \frac{1}{e ^{t}} + \frac{c _{1}}{e ^{4 t}}

Graph

Beliebte Beispiele

y+2y^7=(y^3+6x)y^'

y + 2 y^{7} = (y^{3} + 6 x) y^{^{'}}

integral of 1/(x^2*sqrt(x^2+1))

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integral of 4xln(4x)

\int 4 x ln (4 x) d x

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\frac{d y}{d x} = y (x y^{4} - 1)

integral of-2x^6sin(3x)

\int - 2 x^{6} sin (3 x) d x