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Beliebt Rechnen >

y^{''}+8y^'+15y=-6cos(5x)

Lösung

y^{^{''}} + 8 y^{^{'}} + 15 y = - 6 cos (5 x)

Lösung

y = c_{1} e^{- 3 x} + c_{2} e^{- 5 x} - \frac{12}{85} sin (5 x) + \frac{3}{85} cos (5 x)

Schritte zur Lösung

y^{''} (x) + 8 y^{'} (x) + 15 y = - 6 cos (5 x)

Solve linear ODE:

y = c_{1} e^{- 3 x} + c_{2} e^{- 5 x} - \frac{12}{85} sin (5 x) + \frac{3}{85} cos (5 x)

y = c_{1} e^{- 3 x} + c_{2} e^{- 5 x} - \frac{12}{85} sin (5 x) + \frac{3}{85} cos (5 x)

Graph

Beliebte Beispiele

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

y^{''}+by^'+cy=e^xsin(x)

y^{^{''}} + b y^{^{'}} + cy = e^{x} sin (x)

10y^{''}+50y^'+57.6y=cos(x)

10 y^{^{''}} + 50 y^{^{'}} + 57.6 y = cos (x)

y^{''}+y=5sin(4x)

y^{^{''}} + y = 5 sin (4 x)

y^{''}-3y^'-2y=9e^{-x}

y^{^{''}} - 3 y^{^{'}} - 2 y = 9 e^{- x}