What is the solution for (-xysin(x)+2ycos(x))dx+(2xcos(x))dy=0 ?

The solution for (-xysin(x)+2ycos(x))dx+(2xcos(x))dy=0 is y=(c_{1})/(xsqrt(cos(x)))

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(-xysin(x)+2ycos(x))dx+(2xcos(x))dy=0

(- x y sin (x) + 2 y cos (x)) d x + (2 x cos (x)) d y = 0

y = \frac{c _{1}}{x cos ( x )}

Solution steps

(- x y sin (x) + 2 y cos (x)) d x + (2 x cos (x)) d y = 0

Solve separable ODE:

y = \frac{c _{1}}{x cos ( x )}

y = \frac{c _{1}}{x cos ( x )}

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What is the solution for (-xysin(x)+2ycos(x))dx+(2xcos(x))dy=0 ?
The solution for (-xysin(x)+2ycos(x))dx+(2xcos(x))dy=0 is y=(c_{1})/(xsqrt(cos(x)))