(dy}{dx}y=-arccot(\frac{6x)/3)

Lösung

\frac{d y}{d x} y = - arccot (\frac{6 x}{3})

y = \frac{- 4 x arccot ( 2 x ) - ln ( 4 x ^{2} + 1 ) + c _{1}}{2}, y = - \frac{- 4 x arccot ( 2 x ) - ln ( 4 x ^{2} + 1 ) + c _{1}}{2}

Schritte zur Lösung

\frac{d y}{d x} y = - arccot (\frac{6 x}{3})

Solve separable ODE:

y = \frac{- 4 x arccot ( 2 x ) - ln ( 4 x ^{2} + 1 ) + c _{1}}{2}, y = - \frac{- 4 x arccot ( 2 x ) - ln ( 4 x ^{2} + 1 ) + c _{1}}{2}

y = \frac{- 4 x arccot ( 2 x ) - ln ( 4 x ^{2} + 1 ) + c _{1}}{2}, y = - \frac{- 4 x arccot ( 2 x ) - ln ( 4 x ^{2} + 1 ) + c _{1}}{2}

\frac{d y}{d x} = - x y + \frac{4 x}{y}

\frac{d y}{d x} = 9 x^{2} y^{2}, y \neq = 0

t y^{^{'}} + 2 y = 0

x y^{^{'}} = 6 y (1 + x^{3})

x \frac{d y}{d x} = e^{5 y + x}, x > 0