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Beliebt Rechnen >

y^{''}+4y^'+10y=0,y(0)=1,y^'(0)=0

Lösung

y^{^{''}} + 4 y^{^{'}} + 10 y = 0, y (0) = 1, y^{^{'}} (0) = 0

Lösung

y = e^{- 2 t} (cos (6 t) + \frac{2}{3} sin (6 t))

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) + 10 y = 0

Solve linear ODE:

y = e^{- 2 t} (cos (6 t) + \frac{2}{3} sin (6 t))

y = e^{- 2 t} (cos (6 t) + \frac{2}{3} sin (6 t))

Graph

Beliebte Beispiele

derivative of 1/(2+cos(x))

\frac{d}{d x} (\frac{1}{2 + cos ( x )})

integral of 4e^xcos(2x)

\int 4 e^{x} cos (2 x) d x

tangent f(x)=(1+3x)(5-2x),\at x=2

t an g e n t f (x) = (1 + 3 x) (5 - 2 x), at x = 2

inverselaplace s/((s+1)(s^2+4))

in v erse l a pl a ce \frac{s}{( s + 1 ) ( s ^{2} + 4 )}

(d^2)/(dx^2)(1/(x^{10)})

\frac{d ^{2}}{d x ^{2}} (\frac{1}{x ^{10}})