What is the solution for (dy)/(dx)=(4x^4y+6y^5)/(2x^5+3xy^4) ?

The solution for (dy)/(dx)=(4x^4y+6y^5)/(2x^5+3xy^4) is y=c_{1}x^2

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(dy)/(dx)=(4x^4y+6y^5)/(2x^5+3xy^4)

\frac{d y}{d x} = \frac{4 x ^{4} y + 6 y ^{5}}{2 x ^{5} + 3 x y ^{4}}

y = c_{1} x^{2}

Solution steps

\frac{d y}{d x} = \frac{4 x ^{4} y + 6 y ^{5}}{2 x ^{5} + 3 x y ^{4}}

Solve separable ODE:

y = c_{1} x^{2}

y = c_{1} x^{2}

What is the solution for (dy)/(dx)=(4x^4y+6y^5)/(2x^5+3xy^4) ?
The solution for (dy)/(dx)=(4x^4y+6y^5)/(2x^5+3xy^4) is y=c_{1}x^2