What is the solution for (ysin(x)+xycos(x))dx+(xsin(x)+1)dy=0 ?

The solution for (ysin(x)+xycos(x))dx+(xsin(x)+1)dy=0 is y=(c_{1})/(xsin(x)+1)

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(ysin(x)+xycos(x))dx+(xsin(x)+1)dy=0

(y sin (x) + x y cos (x)) d x + (x sin (x) + 1) d y = 0

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

Solution steps

(y sin (x) + x y cos (x)) d x + (x sin (x) + 1) d y = 0

Solve separable ODE:

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

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

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What is the solution for (ysin(x)+xycos(x))dx+(xsin(x)+1)dy=0 ?
The solution for (ysin(x)+xycos(x))dx+(xsin(x)+1)dy=0 is y=(c_{1})/(xsin(x)+1)