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Beliebt Rechnen >

y^{''}+64y=sin(8x)

Lösung

y^{^{''}} + 64 y = sin (8 x)

Lösung

y = c_{1} cos (8 x) + c_{2} sin (8 x) - \frac{x cos ( 8 x )}{16}

Schritte zur Lösung

y^{''} (x) + 64 y = sin (8 x)

Solve linear ODE:

y = c_{1} cos (8 x) + c_{2} sin (8 x) - \frac{x cos ( 8 x )}{16}

y = c_{1} cos (8 x) + c_{2} sin (8 x) - \frac{x cos ( 8 x )}{16}

Graph

Beliebte Beispiele

y^{''}+6y=t^4,y(0)=0,y^'(0)=0

y^{^{''}} + 6 y = t^{4}, y (0) = 0, y^{^{'}} (0) = 0

(D^2+2D-8)y=(6x^{-1}-x^{-2})e^{2x}

(D^{2} + 2 D - 8) y = (6 x^{- 1} - x^{- 2}) e^{2 x}

y^{''}+2y^'=e^{(-2x)}-sin(x)

y^{^{''}} + 2 y^{^{'}} = e^{(- 2 x)} - sin (x)

y^{''}-y=5,e^{-4x}+2xy(0)=0

y^{^{''}} - y = 5, e^{- 4 x} + 2 x y (0) = 0

y^{''}-y^'-2y=2xe^{-x}+xsin(x)

y^{^{''}} - y^{^{'}} - 2 y = 2 x e^{- x} + x sin (x)