(dy)/(dx)+y/6 =0

Lösung

\frac{d y}{d x} + \frac{y}{6} = 0

y = e^{\frac{- x - c _{1}}{6}}

Schritte zur Lösung

\frac{d y}{d x} + \frac{y}{6} = 0

Solve separable ODE:

y = e^{\frac{- x - c _{1}}{6}}

y = e^{\frac{- x - c _{1}}{6}}

\frac{d y}{d x} + 5 x y = 6 x

\frac{1}{3 y ^{^{'}}} = \frac{2 x + 1}{6 y}

y^{^{'}} + 10 y = 0

x (\frac{d y}{d x}) = 6 y

y^{^{'}} + k^{2} y = 0