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Beliebt Rechnen >

t^2y^{''}+2ty^'-6y=0

Lösung

t^{2} y^{^{''}} + 2 t y^{^{'}} - 6 y = 0

Lösung

y = c_{1} t^{2} + \frac{c _{2}}{t ^{3}}

Schritte zur Lösung

t^{2} y^{''} (t) + 2 t y^{'} (t) - 6 y = 0

Solve linear ODE:

y = c_{1} t^{2} + \frac{c _{2}}{t ^{3}}

y = c_{1} t^{2} + \frac{c _{2}}{t ^{3}}

Graph

Beliebte Beispiele

integral of 1/(3+t)

\int \frac{1}{3 + t} d t

y^{^{'}} = 3 y x^{2} - 3 x^{2}

limit as x approaches-3 of 2/(x^2)

x \to - 3 lim (\frac{2}{x ^{2}})

integral of-64(1+4t)^{-3}

\int - 64 (1 + 4 t)^{- 3} d t

maclaurin e^x-e^{-x}

ma c l a u r in e^{x} - e^{- x}