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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + e^{x} sin (x) + \frac{24 x}{5} + \frac{68}{25}

Schritte zur Lösung

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

Solve linear ODE:

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + e^{x} sin (x) + \frac{24 x}{5} + \frac{68}{25}

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + e^{x} sin (x) + \frac{24 x}{5} + \frac{68}{25}

Graph

Beliebte Beispiele

y^{'''}-y^'=7sin(t)

y^{^{'''}} - y^{^{'}} = 7 sin (t)

(D^4+D^2)y=18x-4sin(x)

(D^{4} + D^{2}) y = 18 x - 4 sin (x)

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

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

y^{''''}+2y^{''}+y=3t+4

y^{^{''''}} + 2 y^{^{''}} + y = 3 t + 4

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

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