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}

\int_{\frac{1}{2}}^{3} 6 x ln (2 x) d x

f (x) = 2 x - 3

\frac{d ^{2}}{d x ^{2}} (7 x^{\frac{3}{2}})

\int e^{x} x^{5} d x

x \to 1 - lim (\frac{1}{2} ln (x^{2} - 1))

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