What is the solution for (dy)/(dx)=(8(1+x))/(xy) ?

The solution for (dy)/(dx)=(8(1+x))/(xy) is y=sqrt(16(ln(x)+x)+c_{1)},y=-sqrt(16(ln(x)+x)+c_{1)}

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(dy)/(dx)=(8(1+x))/(xy)

\frac{d y}{d x} = \frac{8 ( 1 + x )}{x y}

y = 16 (ln (x) + x) + c_{1}, y = - 16 (ln (x) + x) + c_{1}

Solution steps

\frac{d y}{d x} = \frac{8 ( 1 + x )}{x y}

Solve separable ODE:

y = 16 (ln (x) + x) + c_{1}, y = - 16 (ln (x) + x) + c_{1}

y = 16 (ln (x) + x) + c_{1}, y = - 16 (ln (x) + x) + c_{1}

d y = e^{3 x + 2 y} d x

y^{^{'}} = e^{l n (x) - y + 2}

y^{^{'}} = - x y + x y^{2}

y^{^{'}} + 6 y = 2

\frac{d y}{d x} = \frac{x}{y ^{2}}

What is the solution for (dy)/(dx)=(8(1+x))/(xy) ?
The solution for (dy)/(dx)=(8(1+x))/(xy) is y=sqrt(16(ln(x)+x)+c_{1)},y=-sqrt(16(ln(x)+x)+c_{1)}