y^{''}+7y^'+10y=0,y(0)=1,y^'(0)=0

Lösung

y^{^{''}} + 7 y^{^{'}} + 10 y = 0, y (0) = 1, y^{^{'}} (0) = 0

y = (1 + \frac{2}{3}) e^{- 2 t} - \frac{2}{3} e^{- 5 t}

Schritte zur Lösung

y^{''} (t) + 7 y^{'} (t) + 10 y = 0

Solve linear ODE:

y = (1 + \frac{2}{3}) e^{- 2 t} - \frac{2}{3} e^{- 5 t}

y = (1 + \frac{2}{3}) e^{- 2 t} - \frac{2}{3} e^{- 5 t}

\int \frac{1}{x - 5 3 x} d x

x \to 0 lim (\frac{2}{3 + 4 ^{\frac{1}{x}}})

a re a y = x^{3} + 1, (- 1, 2)

\frac{\partial}{\partial x} (y x - ln (x^{3} y + 6 x))

\frac{\partial}{\partial x} ((x - y) e^{y + 2 x^{2}})