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Beliebt Rechnen >

y^{''''}-16y=-12t^3

Lösung

y^{^{''''}} - 16 y = - 12 t^{3}

Lösung

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} + c_{3} cos (2 t) + c_{4} sin (2 t) + \frac{3 t ^{3}}{4}

Schritte zur Lösung

y^{(4)} (t) - 16 y = - 12 t^{3}

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} + c_{3} cos (2 t) + c_{4} sin (2 t) + \frac{3 t ^{3}}{4}

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} + c_{3} cos (2 t) + c_{4} sin (2 t) + \frac{3 t ^{3}}{4}

Graph

Beliebte Beispiele

y^{''}-100y=sinh(10x)

y^{^{''}} - 100 y = sinh (10 x)

14y^{''}+y^'+y=x^2-5x

14 y^{^{''}} + y^{^{'}} + y = x^{2} - 5 x

y^{''}+106y^'+26y=2t^3e^{-5t}sin(t)

y^{^{''}} + 106 y^{^{'}} + 26 y = 2 t^{3} e^{- 5 t} sin (t)

y^{''}-7y^'=5x-3

y^{^{''}} - 7 y^{^{'}} = 5 x - 3

(d^2y)/(dx^2)-y=e^x

\frac{d ^{2} y}{d x ^{2}} - y = e^{x}