What is the solution for y^'= x/(5y) ?

The solution for y^'= x/(5y) is y=sqrt((x^2)/5+c_{1)},y=-sqrt((x^2)/5+c_{1)}

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y^'= x/(5y)

y^{^{'}} = \frac{x}{5 y}

y = \frac{x ^{2}}{5} + c_{1}, y = - \frac{x ^{2}}{5} + c_{1}

Solution steps

y^{'} (x) = \frac{x}{5 y}

Solve separable ODE:

y = \frac{x ^{2}}{5} + c_{1}, y = - \frac{x ^{2}}{5} + c_{1}

y = \frac{x ^{2}}{5} + c_{1}, y = - \frac{x ^{2}}{5} + c_{1}

What is the solution for y^'= x/(5y) ?
The solution for y^'= x/(5y) is y=sqrt((x^2)/5+c_{1)},y=-sqrt((x^2)/5+c_{1)}