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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- \frac{3 x}{2}} + \frac{3}{13} sin (x) - \frac{2}{13} cos (x) - x

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- \frac{3 x}{2}} + \frac{3}{13} sin (x) - \frac{2}{13} cos (x) - x

y = c_{1} + c_{2} e^{- \frac{3 x}{2}} + \frac{3}{13} sin (x) - \frac{2}{13} cos (x) - x

Graph

Beliebte Beispiele

y^{'''}-5y^{''}+6y^'=4+6sin(x)

y^{^{'''}} - 5 y^{^{''}} + 6 y^{^{'}} = 4 + 6 sin (x)

y^{''}+6y^'+9y=-4xe^{-2x}+2e^{-3x}+3

y^{^{''}} + 6 y^{^{'}} + 9 y = - 4 x e^{- 2 x} + 2 e^{- 3 x} + 3

(d^2+4d+5)y=50x+13e^{3x}

(d^{2} + 4 d + 5) y = 50 x + 13 e^{3 x}

y^{''}+5y^'-6y=2e^{-x}

y^{^{''}} + 5 y^{^{'}} - 6 y = 2 e^{- x}

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

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