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Beliebt Rechnen >

y^{'''}-y^{''}-4y^'+4y=10e^{3t}

Lösung

y^{^{'''}} - y^{^{''}} - 4 y^{^{'}} + 4 y = 10 e^{3 t}

Lösung

y = c_{1} e^{t} + c_{2} e^{- 2 t} + c_{3} e^{2 t} + e^{3 t}

Schritte zur Lösung

y^{'''} (t) - y^{''} (t) - 4 y^{'} (t) + 4 y = 10 e^{3 t}

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- 2 t} + c_{3} e^{2 t} + e^{3 t}

y = c_{1} e^{t} + c_{2} e^{- 2 t} + c_{3} e^{2 t} + e^{3 t}

Graph

Beliebte Beispiele

y^{''}-4y^'+4y=4xln(x)

y^{^{''}} - 4 y^{^{'}} + 4 y = 4 x ln (x)

(d^2-4d+3)y=e^{3x}cos(x)

(d^{2} - 4 d + 3) y = e^{3 x} cos (x)

y^{''}-4y^'+4y=4t^2-4t+26

y^{^{''}} - 4 y^{^{'}} + 4 y = 4 t^{2} - 4 t + 26

y^{''}+(y^')/2-y/2 =(x+1)/2

y^{^{''}} + \frac{y ^{^{'}}}{2} - \frac{y}{2} = \frac{x + 1}{2}

y^{''}+y^'=tan(t)

y^{^{''}} + y^{^{'}} = tan (t)