What is the solution for x(dy)/(dx)+y=(xy)^{3/2} ?

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

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x(dy)/(dx)+y=(xy)^{3/2}

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

y = \frac{4}{x ^{3} - 4 c _{1} x ^{2} + 4 c _{1}^{2} x}

Solution steps

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

Solve Bernoulli ODE:

y = \frac{4}{x ^{3} - 4 c _{1} x ^{2} + 4 c _{1}^{2} x}

y = \frac{4}{x ^{3} - 4 c _{1} x ^{2} + 4 c _{1}^{2} x}

\frac{d}{d x} (y - x n (y + x))

\frac{\partial}{\partial y} (x - y - 1)

x \to 0 lim (e^{- x} cos (x))

\frac{d ^{2}}{d x ^{2}} (sec (x))

e^{e^{x}} \to 0 + lim (\frac{e ^{e^{x} - 2}}{e ^{e^{x}}})

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