(dy)/(dx)+6y=1

Lösung

\frac{d y}{d x} + 6 y = 1

y = - \frac{e ^{- 6 x - c_{1}}}{6} + \frac{1}{6}

Schritte zur Lösung

\frac{d y}{d x} + 6 y = 1

Solve separable ODE:

y = - \frac{e ^{- 6 x - c_{1}}}{6} + \frac{1}{6}

y = - \frac{e ^{- 6 x - c_{1}}}{6} + \frac{1}{6}

y^{^{'}} = 2 x cos^{2} (y)

y^{^{'}} - 12 x y = 0

\frac{d y}{d x} = y (5 x^{2} + 5)

y^{^{'}} = (10 x + 3) (7 y + 2)

x^{^{'}} + x = - 2