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

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

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(dy)/(dx)=5sqrt(yx)

\frac{d y}{d x} = 5 y x

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

Solution steps

\frac{d y}{d x} = 5 y x

Solve separable ODE:

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

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

x \to 3 lim (tan (\frac{π x}{4}))

\frac{t ^{4}}{7}

\int \frac{1}{e ^{5 y}} d y

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