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Beliebt Rechnen >

(d^2x)/(dt^2)+16x=1+2sin(4t)

Lösung

\frac{d ^{2} x}{d t ^{2}} + 16 x = 1 + 2 sin (4 t)

Lösung

x = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{1}{16} - \frac{t cos ( 4 t )}{4}

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + 16 x = 1 + 2 sin (4 t)

Solve linear ODE:

x = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{1}{16} - \frac{t cos ( 4 t )}{4}

x = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{1}{16} - \frac{t cos ( 4 t )}{4}

Graph

Beliebte Beispiele

y^{''}-4y=2x-sin(x)

y^{^{''}} - 4 y = 2 x - sin (x)

y^{''}+y^'-2y=5

y^{^{''}} + y^{^{'}} - 2 y = 5

(d^2y)/(dx^2)+9y=xe^{2x}+sin(3x)

\frac{d ^{2} y}{d x ^{2}} + 9 y = x e^{2 x} + sin (3 x)

(d^2-4d+3)y=3e^x*cos(x)

(d^{2} - 4 d + 3) y = 3 e^{x} \cdot cos (x)

D (p) = 1200