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Beliebt Rechnen >

9y^{''}+18y^'+17y=0

Lösung

9 y^{^{''}} + 18 y^{^{'}} + 17 y = 0

Lösung

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

Schritte zur Lösung

9 y^{''} (t) + 18 y^{'} (t) + 17 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

sum from n=1 to infinity of (2n)/(5n+1)

n = 1 \sum \infty \frac{2 n}{5 n + 1}

(\partial)/(\partial y)((12x)/(x+y))

\frac{\partial}{\partial y} (\frac{12 x}{x + y})

\frac{d y}{d x} = y - 2

derivative sin(3x+1)

d er i v a t i v e sin (3 x + 1)

limit as x approaches-7 of-13

x \to - 7 lim (- 13)