y^{''}+11y^'+24y=0,y(0)=0,y^'(0)=-7

Lösung

y^{^{''}} + 11 y^{^{'}} + 24 y = 0, y (0) = 0, y^{^{'}} (0) = - 7

y = - \frac{7}{5} e^{- 3 t} + \frac{7}{5} e^{- 8 t}

Schritte zur Lösung

y^{''} (t) + 11 y^{'} (t) + 24 y = 0

Solve linear ODE:

y = - \frac{7}{5} e^{- 3 t} + \frac{7}{5} e^{- 8 t}

y = - \frac{7}{5} e^{- 3 t} + \frac{7}{5} e^{- 8 t}

x \to 0 lim (\frac{( 9 ^{x} - 3 ^{x} )}{x})

\int x \cdot ln^{3} (x) d x

x \to 2 lim (2 x^{2} - 3 x + 5)

in v erse l a pl a ce \frac{s ^{2}}{( s ^{2} + \frac{1}{4} )}

\int \frac{( x + 1 ) ^{2}}{x} d x