What is the solution for ((2y)/x+(2x^4)/3)dx-dy=0 ?

The solution for ((2y)/x+(2x^4)/3)dx-dy=0 is y=(2x^5)/9+c_{1}x^2

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((2y)/x+(2x^4)/3)dx-dy=0

(\frac{2 y}{x} + \frac{2 x ^{4}}{3}) d x - d y = 0

y = \frac{2 x ^{5}}{9} + c_{1} x^{2}

Solution steps

(\frac{2 y}{x} + \frac{2 x ^{4}}{3}) d x - d y = 0

Solve linear ODE:

y = \frac{2 x ^{5}}{9} + c_{1} x^{2}

y = \frac{2 x ^{5}}{9} + c_{1} x^{2}

What is the solution for ((2y)/x+(2x^4)/3)dx-dy=0 ?
The solution for ((2y)/x+(2x^4)/3)dx-dy=0 is y=(2x^5)/9+c_{1}x^2