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Beliebt Rechnen >

y^{''}+16y=8cos(4x)+12sin(4x)

Lösung

y^{^{''}} + 16 y = 8 cos (4 x) + 12 sin (4 x)

Lösung

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

Schritte zur Lösung

y^{''} (x) + 16 y = 8 cos (4 x) + 12 sin (4 x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2x)/(dt^2)+9x=5sin(3t)

\frac{d ^{2} x}{d t ^{2}} + 9 x = 5 sin (3 t)

y^{''}-2y^'-3y=(3x^2-5)e^{-x}

y^{^{''}} - 2 y^{^{'}} - 3 y = (3 x^{2} - 5) e^{- x}

2y^{''}-8y=16e^x

2 y^{^{''}} - 8 y = 16 e^{x}

(d^3-3d-2)y=540x^3e^{-x}

(d^{3} - 3 d - 2) y = 540 x^{3} e^{- x}

y^{''}+y=2sin(2t),y(0)=9,y^'(0)=0

y^{^{''}} + y = 2 sin (2 t), y (0) = 9, y^{^{'}} (0) = 0