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Beliebt Rechnen >

y^{''}+2y^'+17y=0,y(0)=3,y^'(0)=0

Lösung

y^{^{''}} + 2 y^{^{'}} + 17 y = 0, y (0) = 3, y^{^{'}} (0) = 0

Lösung

y = e^{- t} (3 cos (4 t) + \frac{3}{4} sin (4 t))

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) + 17 y = 0

Solve linear ODE:

y = e^{- t} (3 cos (4 t) + \frac{3}{4} sin (4 t))

y = e^{- t} (3 cos (4 t) + \frac{3}{4} sin (4 t))

Graph

Beliebte Beispiele

integral of sqrt(1+x^2)x

\int 1 + x^{2} x d x

derivative of (4x+9/(sqrt(x)))

\frac{d}{d x} (\frac{4 x + 9}{x})

integral of (x-1)/(x+1)

\int \frac{x - 1}{x + 1} d x

derivative of 2(x^2+5x-2^{-5/7})

\frac{d}{d x} (2 (x^{2} + 5 x - 2)^{- \frac{5}{7}})

(d^2y)/(dt^2)+9y=0

\frac{d ^{2} y}{d t ^{2}} + 9 y = 0