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Beliebt Rechnen >

(d^2y)/(dx^2)+(dy)/(dx)+y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} + y = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} + y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of x/(sqrt(x+7))

\int \frac{x}{x + 7} d x

y^{''}+4y=4sec(2t)

y^{^{''}} + 4 y = 4 sec (2 t)

x y^{^{'}} - y = 2020 x^{2}

steigung (-7,-4),(1,-6)

s l o p e (- 7, - 4), (1, - 6)

fläche 2x^2,2x+6,-2,2

a re a 2 x^{2}, 2 x + 6, - 2, 2