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Beliebt Rechnen >

2y^{''}+12y^'+50y=0,y(0)=0,y^'(0)=-8

Lösung

2 y^{^{''}} + 12 y^{^{'}} + 50 y = 0, y (0) = 0, y^{^{'}} (0) = - 8

Lösung

y = - 2 e^{- 3 t} sin (4 t)

Schritte zur Lösung

2 y^{''} (t) + 12 y^{'} (t) + 50 y = 0

Solve linear ODE:

y = - 2 e^{- 3 t} sin (4 t)

y = - 2 e^{- 3 t} sin (4 t)

Graph

Beliebte Beispiele

tangent y=sqrt(x+8),(8,4)

t an g e n t y = x + 8, (8, 4)

integral of 8e^t-5

\int 8 e^{t} - 5 d t

derivative (8x^2+18x)/((9+8x)^2)

d er i v a t i v e \frac{8 x ^{2} + 18 x}{( 9 + 8 x ) ^{2}}

derivative x^{1/6}

d er i v a t i v e x^{\frac{1}{6}}

derivative of-x^2+13x-22

\frac{d}{d x} (- x^{2} + 13 x - 22)