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Beliebt Rechnen >

y^{''}-2y^'-3y=-9te-t

Lösung

y^{^{''}} - 2 y^{^{'}} - 3 y = - 9 t e - t

Lösung

y = c_{1} e^{3 t} + c_{2} e^{- t} + \frac{( 9 e + 1 ) t}{3} - \frac{2 ( 9 e + 1 )}{9}

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) - 3 y = - 9 t e - t

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- t} + \frac{( 9 e + 1 ) t}{3} - \frac{2 ( 9 e + 1 )}{9}

y = c_{1} e^{3 t} + c_{2} e^{- t} + \frac{( 9 e + 1 ) t}{3} - \frac{2 ( 9 e + 1 )}{9}

Graph

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