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}sqrt(cos(x)))/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} cos ( x )}{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} cos ( x )}{x}

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

h \to 0 lim (\frac{( 2 - h ) ^{3} - 8}{h})

\int sin (y^{3}) d y

\frac{\partial}{\partial x} (sin (π (3 x - 5 y)))

\int \frac{t ^{3}}{t ^{4} + 9} d t

\frac{1}{1 + \frac{1}{5} x ^{3}}

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}sqrt(cos(x)))/x