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Beliebt Rechnen >

y^{''}+2y^'+2y=3cos(t)-sin(t)

Lösung

y^{^{''}} + 2 y^{^{'}} + 2 y = 3 cos (t) - sin (t)

Lösung

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

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) + 2 y = 3 cos (t) - sin (t)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral from 1 to 3 of xe^{-x^2}

\int_{1}^{3} x e^{- x^{2}} d x

derivative of (x-3/(x^2+4))

\frac{d}{d x} (\frac{x - 3}{x ^{2} + 4})

steigung (0.2)(6.6)

s l o p e (0.2) (6.6)

limit as x approaches 3 of (x^2)/(9-x^2)

x \to 3 lim (\frac{x ^{2}}{9 - x ^{2}})

derivative of ((e^x)/(x^2))

\frac{d}{d x} (\frac{( e ^{x} )}{x ^{2}})