y^{''}-4y^'-5y=0,y(0)=3,y^'(0)=9

Lösung

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (0) = 3, y^{^{'}} (0) = 9

y = 2 e^{5 t} + e^{- t}

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) - 5 y = 0

Solve linear ODE:

y = 2 e^{5 t} + e^{- t}

y = 2 e^{5 t} + e^{- t}

\frac{d}{d x} (100 (y - x^{2})^{2} + (1 - x)^{2})

x \to 0 lim (\frac{x}{- x})

\int (x^{2} + \frac{1}{4} y^{2} + 3) d x

\frac{d y}{d t} = 0.03 y + 3600

\frac{\partial}{\partial x} (x^{\frac{3}{2}})