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Beliebt Rechnen >

y^{''}-y^'-6y=32sin(3x)

Lösung

y^{^{''}} - y^{^{'}} - 6 y = 32 sin (3 x)

Lösung

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - \frac{80}{39} sin (3 x) + \frac{16}{39} cos (3 x)

Schritte zur Lösung

y^{''} (x) - y^{'} (x) - 6 y = 32 sin (3 x)

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - \frac{80}{39} sin (3 x) + \frac{16}{39} cos (3 x)

y = c_{1} e^{3 x} + c_{2} e^{- 2 x} - \frac{80}{39} sin (3 x) + \frac{16}{39} cos (3 x)

Graph

Beliebte Beispiele

y^{''}-2y^'+y=576e^{9t}

y^{^{''}} - 2 y^{^{'}} + y = 576 e^{9 t}

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

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

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

y^{''}-12y^'+36y=72x+225cos(3x)

y^{^{''}} - 12 y^{^{'}} + 36 y = 72 x + 225 cos (3 x)

y^{''}+4y^'+4y=16t+13

y^{^{''}} + 4 y^{^{'}} + 4 y = 16 t + 13