What is the solution for (y+ycos(xy))dx+(x+xcos(xy))dy=0 ?

The solution for (y+ycos(xy))dx+(x+xcos(xy))dy=0 is y=(c_{1})/x

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(y+ycos(xy))dx+(x+xcos(xy))dy=0

(y + y cos (x y)) d x + (x + x cos (x y)) d y = 0

y = \frac{c _{1}}{x}

Solution steps

(y + y cos (x y)) d x + (x + x cos (x y)) d y = 0

Solve linear ODE:

y = \frac{c _{1}}{x}

y = \frac{c _{1}}{x}

\int_{1}^{e} ln (9 x) d x

\frac{\partial}{\partial x} (x^{5} e^{x y} + 3 x)

\frac{3}{8 x ^{\frac{5}{2}}}

\frac{d}{d x} (4 x y^{3})

x (9.3)

What is the solution for (y+ycos(xy))dx+(x+xcos(xy))dy=0 ?
The solution for (y+ycos(xy))dx+(x+xcos(xy))dy=0 is y=(c_{1})/x