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Beliebt Rechnen >

y^{''}+y^'-2y=12cos(2x)

Lösung

y^{^{''}} + y^{^{'}} - 2 y = 12 cos (2 x)

Lösung

y = c_{1} e^{x} + c_{2} e^{- 2 x} + \frac{3}{5} sin (2 x) - \frac{9}{5} cos (2 x)

Schritte zur Lösung

y^{''} (x) + y^{'} (x) - 2 y = 12 cos (2 x)

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- 2 x} + \frac{3}{5} sin (2 x) - \frac{9}{5} cos (2 x)

y = c_{1} e^{x} + c_{2} e^{- 2 x} + \frac{3}{5} sin (2 x) - \frac{9}{5} cos (2 x)

Graph

Beliebte Beispiele

y^{''}+9y=xe^{3x}

y^{^{''}} + 9 y = x e^{3 x}

(D^2-3D+2)y=72xe^{-x}

(D^{2} - 3 D + 2) y = 72 x e^{- x}

y^{''}+6y^'+8=(3x-2)e^{4x}

y^{^{''}} + 6 y^{^{'}} + 8 = (3 x - 2) e^{4 x}

y^{''}-3y^'+2y=e^{-4t},y(0)=1,y(0)=5

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{- 4 t}, y (0) = 1, y (0) = 5

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

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