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Beliebt Rechnen >

y^{''}-4y^'+13y=-40cos(x)+13x

Lösung

y^{^{''}} - 4 y^{^{'}} + 13 y = - 40 cos (x) + 13 x

Lösung

y = e^{2 x} (c_{1} cos (3 x) + c_{2} sin (3 x)) + sin (x) - 3 cos (x) + x + \frac{4}{13}

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) + 13 y = - 40 cos (x) + 13 x

Solve linear ODE:

y = e^{2 x} (c_{1} cos (3 x) + c_{2} sin (3 x)) + sin (x) - 3 cos (x) + x + \frac{4}{13}

y = e^{2 x} (c_{1} cos (3 x) + c_{2} sin (3 x)) + sin (x) - 3 cos (x) + x + \frac{4}{13}

Graph

Beliebte Beispiele

y^{''}+25y=cos(5x)csc^2(5x)

y^{^{''}} + 25 y = cos (5 x) csc^{2} (5 x)

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

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

y^{''}-2y^'-3y=8e^x-6

y^{^{''}} - 2 y^{^{'}} - 3 y = 8 e^{x} - 6

y^{''}+7y^'+12y=e^t,y(0)=0,y^'(0)=1

y^{^{''}} + 7 y^{^{'}} + 12 y = e^{t}, y (0) = 0, y^{^{'}} (0) = 1

y^{'''}-2y^{''}-y^'+2y=e^{7t}

y^{^{'''}} - 2 y^{^{''}} - y^{^{'}} + 2 y = e^{7 t}