What is the solution for 3e^{2x}((dy)/(dx))=-4(x/(y^2)) ?

The solution for 3e^{2x}((dy)/(dx))=-4(x/(y^2)) is y=\sqrt[3]{2xe^{-2x}+e^{-2x}+c_{1}}

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3e^{2x}((dy)/(dx))=-4(x/(y^2))

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

Solution steps

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

Solve separable ODE:

4 y^{^{''}} + 26 y = 0

y = 5 x

\int (3 x^{2} - 6 x - 7) d x

\frac{1}{( s ^{2} - 4 s + 5 )}

What is the solution for 3e^{2x}((dy)/(dx))=-4(x/(y^2)) ?
The solution for 3e^{2x}((dy)/(dx))=-4(x/(y^2)) is y=\sqrt[3]{2xe^{-2x}+e^{-2x}+c_{1}}