What is the solution for y^'=(4(1+x))/(xy) ?

The solution for y^'=(4(1+x))/(xy) is y=sqrt(8(ln(x)+x)+c_{1)},y=-sqrt(8(ln(x)+x)+c_{1)}

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y^'=(4(1+x))/(xy)

y^{^{'}} = \frac{4 ( 1 + x )}{x y}

y = 8 (ln (x) + x) + c_{1}, y = - 8 (ln (x) + x) + c_{1}

Solution steps

y^{'} (x) = \frac{4 ( 1 + x )}{x y}

Solve separable ODE:

y = 8 (ln (x) + x) + c_{1}, y = - 8 (ln (x) + x) + c_{1}

y = 8 (ln (x) + x) + c_{1}, y = - 8 (ln (x) + x) + c_{1}

What is the solution for y^'=(4(1+x))/(xy) ?
The solution for y^'=(4(1+x))/(xy) is y=sqrt(8(ln(x)+x)+c_{1)},y=-sqrt(8(ln(x)+x)+c_{1)}