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Beliebt Rechnen >

y^{''}-3y^'-4y=2e^{-t}

Lösung

y^{^{''}} - 3 y^{^{'}} - 4 y = 2 e^{- t}

Lösung

y = c_{1} e^{4 t} + c_{2} e^{- t} - \frac{2 e ^{- t} t}{5}

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) - 4 y = 2 e^{- t}

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} e^{- t} - \frac{2 e ^{- t} t}{5}

y = c_{1} e^{4 t} + c_{2} e^{- t} - \frac{2 e ^{- t} t}{5}

Graph

Beliebte Beispiele

y^{''}+8y^'+2y=cos(x),y(0)=0,y^'(0)=1

y^{^{''}} + 8 y^{^{'}} + 2 y = cos (x), y (0) = 0, y^{^{'}} (0) = 1

y^{''}-2y^'+y=x

y^{^{''}} - 2 y^{^{'}} + y = x

y^{''}-3y^'+2y=4x+6

y^{^{''}} - 3 y^{^{'}} + 2 y = 4 x + 6

y^{''}+y^'-6y=xe^{2x}

y^{^{''}} + y^{^{'}} - 6 y = x e^{2 x}

(d^2y)/(dx^2)+y=sin(x)

\frac{d ^{2} y}{d x ^{2}} + y = sin (x)