What is the solution for (xy^2-3y)dx+(x^2y-3x)dy=0 ?

The solution for (xy^2-3y)dx+(x^2y-3x)dy=0 is y=(c_{1})/x

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(xy^2-3y)dx+(x^2y-3x)dy=0

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

y = \frac{c _{1}}{x}

Solution steps

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

Solve linear ODE:

y = \frac{c _{1}}{x}

y = \frac{c _{1}}{x}

\int \frac{1 - x}{3 e ^{x}} d x

x \to 3 lim (x^{2} - 4)

x \to 0 lim (\frac{( 1 + x ) ^{3} - 1}{x})

\frac{d}{d x} (sin (\frac{π}{x}))

x \to 0 lim (\frac{1}{sin ( x ^{2} )})

What is the solution for (xy^2-3y)dx+(x^2y-3x)dy=0 ?
The solution for (xy^2-3y)dx+(x^2y-3x)dy=0 is y=(c_{1})/x