What is the solution for (y-(xdy)/(dx))=3(1-(x^2dy)/(dx)) ?

The solution for (y-(xdy)/(dx))=3(1-(x^2dy)/(dx)) is y=-(3c_{1}x)/(3x-1)+3

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(y-(xdy)/(dx))=3(1-(x^2dy)/(dx))

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

y = - \frac{3 c _{1} x}{3 x - 1} + 3

Solution steps

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

Solve separable ODE:

y = - \frac{3 c _{1} x}{3 x - 1} + 3

y = - \frac{3 c _{1} x}{3 x - 1} + 3

x \frac{d y}{d x} = e^{8 y + x}, x > 0

y^{^{'}} = \frac{x ^{3} y}{x ^{4} + 1}

8 x y^{3} d x + 12 x^{2} y^{2} d y = 0

\frac{d y}{d x} + 3 y = 0, y > 0

\frac{d y}{d t} = e^{(t + y)}

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