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Beliebt Rechnen >

9y^{''}+6y^'+4y=0

Lösung

9 y^{^{''}} + 6 y^{^{'}} + 4 y = 0

Lösung

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

Schritte zur Lösung

9 y^{''} (t) + 6 y^{'} (t) + 4 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of 2e^t

\int 2 e^{t} d t

(dy)/(dx)= x/y ,y(0)=-5

\frac{d y}{d x} = \frac{x}{y}, y (0) = - 5

derivative of ln(1/(2x))

\frac{d}{d x} (ln (\frac{1}{2 x}))

derivative y=3e^xcos(x)

d er i v a t i v e y = 3 e^{x} cos (x)

integral of (x/7-3/4 x^4)

\int (\frac{x}{7} - \frac{3}{4} x^{4}) d x