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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{\frac{2 x}{3}} + c_{2} e^{- x} + \frac{1}{13} sin (x) - \frac{5}{13} cos (x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{\frac{2 x}{3}} + c_{2} e^{- x} + \frac{1}{13} sin (x) - \frac{5}{13} cos (x)

y = c_{1} e^{\frac{2 x}{3}} + c_{2} e^{- x} + \frac{1}{13} sin (x) - \frac{5}{13} cos (x)

Graph

Beliebte Beispiele

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

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

y^{''}-2y^'+2y=2x-2,y(0)=0

y^{^{''}} - 2 y^{^{'}} + 2 y = 2 x - 2, y (0) = 0

y^{''}-25y=x^2e^x-xe^{5x}

y^{^{''}} - 25 y = x^{2} e^{x} - x e^{5 x}

y^{''}+2y^'-3y=8e^x

y^{^{''}} + 2 y^{^{'}} - 3 y = 8 e^{x}

y^{''}+16y=4cos(4x)+6sin(4x)

y^{^{''}} + 16 y = 4 cos (4 x) + 6 sin (4 x)