5y^{''}+y^'=-6x

Lösung

5 y^{^{''}} + y^{^{'}} = - 6 x

y = c_{1} + c_{2} e^{- \frac{x}{5}} - 3 x^{2} + 30 x

Schritte zur Lösung

5 y^{''} (x) + y^{'} (x) = - 6 x

Solve linear ODE:

y = c_{1} + c_{2} e^{- \frac{x}{5}} - 3 x^{2} + 30 x

y = c_{1} + c_{2} e^{- \frac{x}{5}} - 3 x^{2} + 30 x

\frac{\partial}{\partial x} (y - 3 x)

x \to 0 lim (\frac{x}{sin ( π x )})

x \to - \infty lim (x^{5})

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

\frac{d}{d x} (x cos (\frac{1}{x}))