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Beliebt Rechnen >

y^{''''}-y=12t+cos(t)

Lösung

y^{^{''''}} - y = 12 t + cos (t)

Lösung

y = c_{1} e^{t} + c_{2} e^{- t} + c_{3} cos (t) + c_{4} sin (t) - 12 t - \frac{t sin ( t )}{4}

Schritte zur Lösung

y^{(4)} (t) - y = 12 t + cos (t)

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- t} + c_{3} cos (t) + c_{4} sin (t) - 12 t - \frac{t sin ( t )}{4}

y = c_{1} e^{t} + c_{2} e^{- t} + c_{3} cos (t) + c_{4} sin (t) - 12 t - \frac{t sin ( t )}{4}

Graph

Beliebte Beispiele

y^{''}+2y^'+2y=x^2-3xe^{-2x}cos(5x)

y^{^{''}} + 2 y^{^{'}} + 2 y = x^{2} - 3 x e^{- 2 x} cos (5 x)

y^{''}-2y^'-3y=e^{2x}

y^{^{''}} - 2 y^{^{'}} - 3 y = e^{2 x}

y^{''}-2y^'+2y=3x+e^xtan(x)

y^{^{''}} - 2 y^{^{'}} + 2 y = 3 x + e^{x} tan (x)

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

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

y^{''}-12y^'+36y=4e^{6x}

y^{^{''}} - 12 y^{^{'}} + 36 y = 4 e^{6 x}