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Beliebt Rechnen >

y^{''}+y= 1/4 sin(3t)-3/4 sin(t)

Lösung

y^{^{''}} + y = \frac{1}{4} sin (3 t) - \frac{3}{4} sin (t)

Lösung

y = c_{1} cos (t) + c_{2} sin (t) - \frac{1}{32} sin (3 t) + \frac{3 t cos ( t )}{8}

Schritte zur Lösung

y^{''} (t) + y = \frac{1}{4} sin (3 t) - \frac{3}{4} sin (t)

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) - \frac{1}{32} sin (3 t) + \frac{3 t cos ( t )}{8}

y = c_{1} cos (t) + c_{2} sin (t) - \frac{1}{32} sin (3 t) + \frac{3 t cos ( t )}{8}

Graph

Beliebte Beispiele

derivative of arccos((ax/2))

\frac{d}{d x} (arccos (\frac{a x}{2}))

integral of 1/x-4/(x^2+1)

\int \frac{1}{x} - \frac{4}{x ^{2} + 1} d x

integral from 0 to infinity of cos^2(x)

\int_{0}^{\infty} cos^{2} (x) d x

integral of 1/(64e^{-8x)+e^{8x}}

\int \frac{1}{64 e ^{- 8 x} + e ^{8 x}} d x

steigung (5,7),(-4,-2)

s l o p e (5, 7), (- 4, - 2)