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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{- t} (c_{1} cos (t) + c_{2} sin (t)) + \frac{1}{5} sin (t) - \frac{2}{5} cos (t)

Schritte zur Lösung

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

Solve linear ODE:

y = e^{- t} (c_{1} cos (t) + c_{2} sin (t)) + \frac{1}{5} sin (t) - \frac{2}{5} cos (t)

y = e^{- t} (c_{1} cos (t) + c_{2} sin (t)) + \frac{1}{5} sin (t) - \frac{2}{5} cos (t)

Graph

Beliebte Beispiele

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sum from n=1 to infinity of n^nx^n

n = 1 \sum \infty n^{n} x^{n}

y^'+8(tan(8x))y=-5cos(8x)

y^{^{'}} + 8 (tan (8 x)) y = - 5 cos (8 x)

limit as x approaches infinity of (\sqrt[x]{7}+1)/(\sqrt[x]{7)}

x \to \infty lim (\frac{x 7 + 1}{x 7})