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

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

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

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

y = - \frac{x ^{2}}{2 ln ( x ) - 3} + \frac{c _{1}}{2 ln ( x ) - 3}

Solution steps

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

Solve linear ODE:

y = - \frac{x ^{2}}{2 ln ( x ) - 3} + \frac{c _{1}}{2 ln ( x ) - 3}

y = - \frac{x ^{2}}{2 ln ( x ) - 3} + \frac{c _{1}}{2 ln ( x ) - 3}

\frac{1}{4 ^{x}}

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