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Beliebt Rechnen >

y^{''}+16y=3sin(5t),y(0)=0,y^'(0)=0

Lösung

y^{^{''}} + 16 y = 3 sin (5 t), y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = \frac{5}{12} sin (4 t) - \frac{1}{3} sin (5 t)

Schritte zur Lösung

y^{''} (t) + 16 y = 3 sin (5 t)

Solve linear ODE:

y = \frac{5}{12} sin (4 t) - \frac{1}{3} sin (5 t)

y = \frac{5}{12} sin (4 t) - \frac{1}{3} sin (5 t)

Graph

Beliebte Beispiele

integral of (1-x)^3

\int (1 - x)^{3} d x

integral from 0 to 1 of (4sqrt(x))-(4x)

\int_{0}^{1} (4 x) - (4 x) d x

derivative of (pix/2)

\frac{d}{d x} (\frac{π x}{2})

integral of sqrt(12-x^2)

\int 12 - x^{2} d x

7x-4ysqrt(x^2+1)(dy)/(dx)=0

7 x - 4 y x^{2} + 1 \frac{d y}{d x} = 0