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Beliebt Rechnen >

y^{''}-3y^'+2y=12e^{-2t}

Lösung

y^{^{''}} - 3 y^{^{'}} + 2 y = 12 e^{- 2 t}

Lösung

y = c_{1} e^{2 t} + c_{2} e^{t} + e^{- 2 t}

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) + 2 y = 12 e^{- 2 t}

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{t} + e^{- 2 t}

y = c_{1} e^{2 t} + c_{2} e^{t} + e^{- 2 t}

Graph

Beliebte Beispiele

3y^{''}+12y^'+39y=90sin(3t)

3 y^{^{''}} + 12 y^{^{'}} + 39 y = 90 sin (3 t)

y^{''}-2y^'+2y=x+e^xcos(x)

y^{^{''}} - 2 y^{^{'}} + 2 y = x + e^{x} cos (x)

y^{''}-2y^'+6=0

y^{^{''}} - 2 y^{^{'}} + 6 = 0

(d^4y)/(dx^4)+(d^2y)/(dx^2)=cos(4x)

\frac{d ^{4} y}{d x ^{4}} + \frac{d ^{2} y}{d x ^{2}} = cos (4 x)

y^{''''}-3y^{''}-4y=10sin(x)

y^{^{''''}} - 3 y^{^{''}} - 4 y = 10 sin (x)