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Beliebt Rechnen >

y^{''}+2y^'+2y=0

Lösung

y^{^{''}} + 2 y^{^{'}} + 2 y = 0

Lösung

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

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) + 2 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(\partial)/(\partial y)(x/(x^6-y^4))

\frac{\partial}{\partial y} (\frac{x}{x ^{6} - y ^{4}})

y^{^{'}} + y = e^{- t} - 1

derivative of 5x^4ln(x+x^4)

\frac{d}{d x} (5 x^{4} ln (x) + x^{4})

fläche 1/4 (x-3)^2+1,x^2+1,0,3

a re a \frac{1}{4} (x - 3)^{2} + 1, x^{2} + 1, 0, 3

f (x) = sin^{2} (5 x)