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Beliebt Rechnen >

y^{''}-5y^'+6.25y=0,y(0)=1,y^'(0)=0.5

Lösung

y^{^{''}} - 5 y^{^{'}} + 6.25 y = 0, y (0) = 1, y^{^{'}} (0) = 0.5

Lösung

y = e^{\frac{5 t}{2}} - 2 e^{\frac{5 t}{2}} t

Schritte zur Lösung

y^{''} (t) - 5 y^{'} (t) + 6.25 y = 0

Solve linear ODE:

y = e^{\frac{5 t}{2}} - 2 e^{\frac{5 t}{2}} t

y = e^{\frac{5 t}{2}} - 2 e^{\frac{5 t}{2}} t

Graph

Beliebte Beispiele

limit as x approaches infinity of e^x+1

x \to \infty lim (e^{x} + 1)

integral from pi to 2pi of sin(x)

\int_{π}^{2 π} sin (x) d x

derivative of e^{4-x}

\frac{d}{d x} (e^{4 - x})

derivative of ln(sin(5x))

\frac{d}{d x} (ln (sin (5 x)))

derivative q(x)=(8x-6)^{-1/4}

d er i v a t i v e q (x) = (8 x - 6)^{- \frac{1}{4}}