What is the solution for 5sqrt(xy)((dy)/(dx))=1 ?

The solution for 5sqrt(xy)((dy)/(dx))=1 is y=\sqrt[3]{(9x}{25}+\frac{9c_{1}sqrt(x))/5+(9c_{1}^2)/4}

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5sqrt(xy)((dy)/(dx))=1

5 x y (\frac{d y}{d x}) = 1

y = 3 \frac{9 x}{25} + \frac{9 c _{1} x}{5} + \frac{9 c _{1}^{2}}{4}

Solution steps

5 x y (\frac{d y}{d x}) = 1

Solve separable ODE:

y = 3 \frac{9 x}{25} + \frac{9 c _{1} x}{5} + \frac{9 c _{1}^{2}}{4}

y = 3 \frac{9 x}{25} + \frac{9 c _{1} x}{5} + \frac{9 c _{1}^{2}}{4}

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

\int \frac{x ^{3}}{x ^{4} + 4} d x

\frac{s}{s ^{2} + s - 2}

y = 3 e^{x}, at x = 2

\int \frac{1}{t ^{3} t ^{2} - 4} d t

What is the solution for 5sqrt(xy)((dy)/(dx))=1 ?
The solution for 5sqrt(xy)((dy)/(dx))=1 is y=\sqrt[3]{(9x}{25}+\frac{9c_{1}sqrt(x))/5+(9c_{1}^2)/4}