What is the solution for (dy)/(dx)=(3y^2-xy^2)/(x^2y+5x^2) ?

The solution for (dy)/(dx)=(3y^2-xy^2)/(x^2y+5x^2) is y= 5/(\W(5e^{(-c_{1)x+3)/x}x)}

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(dy)/(dx)=(3y^2-xy^2)/(x^2y+5x^2)

\frac{d y}{d x} = \frac{3 y ^{2} - x y ^{2}}{x ^{2} y + 5 x ^{2}}

y = \frac{5}{W ( 5 e ^{\frac{- c _{1} x + 3}{x}} x )}

Solution steps

\frac{d y}{d x} = \frac{3 y ^{2} - x y ^{2}}{x ^{2} y + 5 x ^{2}}

Solve separable ODE:

y = \frac{5}{W ( 5 e ^{\frac{- c _{1} x + 3}{x}} x )}

y = \frac{5}{W ( 5 e ^{\frac{- c _{1} x + 3}{x}} x )}

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

sin (x) \cdot y^{^{'}} = x \cdot y

\frac{d y}{d x} + 3 y = 11

\frac{d y}{d x} = \frac{7 y ^{2}}{sec ( x )}

\frac{d y}{d x} + 3 x^{2} y = 3 x^{2}

What is the solution for (dy)/(dx)=(3y^2-xy^2)/(x^2y+5x^2) ?
The solution for (dy)/(dx)=(3y^2-xy^2)/(x^2y+5x^2) is y= 5/(\W(5e^{(-c_{1)x+3)/x}x)}