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Beliebt Rechnen >

2y^{''}+3y^'-5y=2cos(x)

Lösung

2 y^{^{''}} + 3 y^{^{'}} - 5 y = 2 cos (x)

Lösung

y = c_{1} e^{x} + c_{2} e^{- \frac{5 x}{2}} + \frac{3}{29} sin (x) - \frac{7}{29} cos (x)

Schritte zur Lösung

2 y^{''} (x) + 3 y^{'} (x) - 5 y = 2 cos (x)

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- \frac{5 x}{2}} + \frac{3}{29} sin (x) - \frac{7}{29} cos (x)

y = c_{1} e^{x} + c_{2} e^{- \frac{5 x}{2}} + \frac{3}{29} sin (x) - \frac{7}{29} cos (x)

Graph

Beliebte Beispiele

y^{''}-4y=e^{-x}

y^{^{''}} - 4 y = e^{- x}

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

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

y^{''}+2y^'+y=sin(x)+8cos(2x)

y^{^{''}} + 2 y^{^{'}} + y = sin (x) + 8 cos (2 x)

(D^4-2D^2+1)y=cos(x)

(D^{4} - 2 D^{2} + 1) y = cos (x)

y^{''}+5y^'+4y=2xe^{2x}

y^{^{''}} + 5 y^{^{'}} + 4 y = 2 x e^{2 x}