(dy)/(dx)=(sin(x))/(3y)

Lösung

\frac{d y}{d x} = \frac{sin ( x )}{3 y}

y = \frac{- 2 cos ( x ) + c _{1}}{3}, y = - \frac{- 2 cos ( x ) + c _{1}}{3}

Schritte zur Lösung

\frac{d y}{d x} = \frac{sin ( x )}{3 y}

Solve separable ODE:

y = \frac{- 2 cos ( x ) + c _{1}}{3}, y = - \frac{- 2 cos ( x ) + c _{1}}{3}

y = \frac{- 2 cos ( x ) + c _{1}}{3}, y = - \frac{- 2 cos ( x ) + c _{1}}{3}

x^{^{'}} - 5 x = 0

2 x (1 + y^{2}) d x - y (1 - 2 x^{2}) d y = 0

y^{^{'}} = y (x - 1)

\frac{d y}{d x} = - \frac{( 2 x - 1 )}{( 3 y + 7 )}

2 x^{2} y + 3 x y^{^{'}} - (2 x^{2} - 1) y = 0