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Beliebt Rechnen >

y^{''}+2y^'+10y=0,y(0)=3,y^'(0)=-1

Lösung

y^{^{''}} + 2 y^{^{'}} + 10 y = 0, y (0) = 3, y^{^{'}} (0) = - 1

Lösung

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

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) + 10 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of (e^{6x}/x)

\frac{d}{d x} (\frac{e ^{6 x}}{x})

limit as x approaches 3 of x+3

x \to 3 lim (x + 3)

derivative-(18)/(x^3)

d er i v a t i v e - \frac{18}{x ^{3}}

(dy)/(dx)=(xy+y^2+x^2)/(x^2)

\frac{d y}{d x} = \frac{x y + y ^{2} + x ^{2}}{x ^{2}}

integral from-1 to 3 of |x-2x^2|

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