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Beliebt Rechnen >

y^{''}+4sqrt(5)y^'+20y=0

Lösung

y^{^{''}} + 45 y^{^{'}} + 20 y = 0

Lösung

y = c_{1} e^{- 25 t} + c_{2} t e^{- 25 t}

Schritte zur Lösung

y^{''} (t) + 45 y^{'} (t) + 20 y = 0

Solve linear ODE:

y = c_{1} e^{- 25 t} + c_{2} t e^{- 25 t}

y = c_{1} e^{- 25 t} + c_{2} t e^{- 25 t}

Graph

Beliebte Beispiele

integral of xsqrt(x^4-1)

\int x x^{4} - 1 d x

derivative of (8x^3-2x^2+3/(2x))

\frac{d}{d x} (\frac{8 x ^{3} - 2 x ^{2} + 3}{2 x})

integral of (y-x^3)

\int (y - x^{3}) d x

integral of (5x-4)/(sqrt(8x-5^2+9))

\int \frac{5 x - 4}{8 x - 5 ^{2} + 9} d x

(dy)/(dx)+y^9x+4y=0

\frac{d y}{d x} + y^{9} x + 4 y = 0