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

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

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

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

y = \frac{c _{1}}{x ^{\frac{3}{2}}}

Solution steps

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

Solve separable ODE:

y = \frac{c _{1}}{x ^{\frac{3}{2}}}

y = \frac{c _{1}}{x ^{\frac{3}{2}}}

(9 + x) y^{^{'}} = 2 y

\frac{d y}{d x} = cos (x) (2 - y)

\frac{d y}{d t} = \frac{t}{y}

\frac{d y}{d x} = \frac{x - 2}{2 y ^{2}}

\frac{d y}{d x} = \frac{2 x}{y}

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