What is the solution for (dy)/(dx)=(9(1+x))/(xy) ?

The solution for (dy)/(dx)=(9(1+x))/(xy) is y=sqrt(18(ln(x)+x)+c_{1)},y=-sqrt(18(ln(x)+x)+c_{1)}

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(dy)/(dx)=(9(1+x))/(xy)

\frac{d y}{d x} = \frac{9 ( 1 + x )}{x y}

y = 18 (ln (x) + x) + c_{1}, y = - 18 (ln (x) + x) + c_{1}

Solution steps

\frac{d y}{d x} = \frac{9 ( 1 + x )}{x y}

Solve separable ODE:

y = 18 (ln (x) + x) + c_{1}, y = - 18 (ln (x) + x) + c_{1}

y = 18 (ln (x) + x) + c_{1}, y = - 18 (ln (x) + x) + c_{1}

x^{^{'}} = \frac{2 x}{t + 1}

y^{^{'}} + (x + 9) y = 0

\frac{d y}{d t} = - a y

\frac{d P}{d t} = 4 Pt, P (1) = 2

\frac{d y}{d t} = (t y)

What is the solution for (dy)/(dx)=(9(1+x))/(xy) ?
The solution for (dy)/(dx)=(9(1+x))/(xy) is y=sqrt(18(ln(x)+x)+c_{1)},y=-sqrt(18(ln(x)+x)+c_{1)}