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Beliebt Rechnen >

y^{''}+16y=sin(8x)

Lösung

y^{^{''}} + 16 y = sin (8 x)

Lösung

y = c_{1} cos (4 x) + c_{2} sin (4 x) - \frac{1}{48} sin (8 x)

Schritte zur Lösung

y^{''} (x) + 16 y = sin (8 x)

Solve linear ODE:

y = c_{1} cos (4 x) + c_{2} sin (4 x) - \frac{1}{48} sin (8 x)

y = c_{1} cos (4 x) + c_{2} sin (4 x) - \frac{1}{48} sin (8 x)

Graph

Beliebte Beispiele

2x^{''}+3x^'+5x=2t

2 x^{^{''}} + 3 x^{^{'}} + 5 x = 2 t

y^{''}-6y^'+8y=8e^{4x}

y^{^{''}} - 6 y^{^{'}} + 8 y = 8 e^{4 x}

2y^{''}+18y=3tan(3x)

2 y^{^{''}} + 18 y = 3 tan (3 x)

y^{''}+y=e^{-2t}sin(t),y(0)=0,y^'(0)=0

y^{^{''}} + y = e^{- 2 t} sin (t), y (0) = 0, y^{^{'}} (0) = 0

y^{''}+4y^'+4y=x^3e^{2x}

y^{^{''}} + 4 y^{^{'}} + 4 y = x^{3} e^{2 x}