What is the solution for (dy)/(dx)=csc(x)-ycot(x) ?

The solution for (dy)/(dx)=csc(x)-ycot(x) is y= x/(sin(x))+(c_{1})/(sin(x))

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(dy)/(dx)=csc(x)-ycot(x)

\frac{d y}{d x} = csc (x) - y cot (x)

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

Solution steps

\frac{d y}{d x} = csc (x) - y cot (x)

Solve linear ODE:

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

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

\int \frac{3 x ^{2}}{( x + 1 ) ( x ^{2} + 1 )} d x

\int \frac{sin ( x )}{2 - cos ( x )} d x

y = 2 x^{2}, y = 3 - x, 0, 3

y^{^{''}} + (10 + 5) y = \frac{( 10 - 5 )}{2}

\frac{( x + x ^{2} + 8 )}{2}

What is the solution for (dy)/(dx)=csc(x)-ycot(x) ?
The solution for (dy)/(dx)=csc(x)-ycot(x) is y= x/(sin(x))+(c_{1})/(sin(x))