(dy)/(dx)=((x+3y))/((y-3x))

解答

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

y = \frac{6 x + 40 x ^{2} + c _{1}}{2}, y = \frac{6 x - 40 x ^{2} + c _{1}}{2}

求解步骤

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

求解恰当方程:

y = \frac{6 x + 40 x ^{2} + c _{1}}{2}, y = \frac{6 x - 40 x ^{2} + c _{1}}{2}

y = \frac{6 x + 40 x ^{2} + c _{1}}{2}, y = \frac{6 x - 40 x ^{2} + c _{1}}{2}