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Beliebt Rechnen >

y^{''}-4y=6cos(3t+30)

Lösung

y^{^{''}} - 4 y = 6 cos (3 t + 3 0^{\circ})

Lösung

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} - \frac{6}{13} cos (3 t + 3 0^{\circ})

Schritte zur Lösung

y^{''} (t) - 4 y = 6 cos (3 t + 3 0^{\circ})

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} - \frac{6}{13} cos (3 t + 3 0^{\circ})

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} - \frac{6}{13} cos (3 t + 3 0^{\circ})

Graph

Beliebte Beispiele

y^{''}-7y^'+6y=3e^t

y^{^{''}} - 7 y^{^{'}} + 6 y = 3 e^{t}

y^{''}+4y=te^{3t}+3sin(4t)

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

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

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

y^{''}+4y^'+4y=x^2-2x

y^{^{''}} + 4 y^{^{'}} + 4 y = x^{2} - 2 x

y^{''}-2y^'+5y=3e^xsin(x)+24x+4

y^{^{''}} - 2 y^{^{'}} + 5 y = 3 e^{x} sin (x) + 24 x + 4