What is the solution for (dy)/(dx)+(cot(x))y=2*csc(x) ?

The solution for (dy)/(dx)+(cot(x))y=2*csc(x) is y=(2x)/(sin(x))+(c_{1})/(sin(x))

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(dy)/(dx)+(cot(x))y=2*csc(x)

\frac{d y}{d x} + (cot (x)) y = 2 \cdot csc (x)

y = \frac{2 x}{sin ( x )} + \frac{c _{1}}{sin ( x )}

Solution steps

\frac{d y}{d x} + (cot (x)) y = 2 \cdot csc (x)

Solve linear ODE:

y = \frac{2 x}{sin ( x )} + \frac{c _{1}}{sin ( x )}

y = \frac{2 x}{sin ( x )} + \frac{c _{1}}{sin ( x )}

\frac{d}{d x} (x \cdot cos (\frac{( x )}{( x - 2 )}))

x \to 0 lim (- e^{x})

x^{2} y^{^{'}} = (x + 1) y

\int_{- 1}^{0} \frac{1}{1 + x ^{2}} d x

\int_{0}^{1} - 1 (x^{2} + 1) e^{- x} d x

What is the solution for (dy)/(dx)+(cot(x))y=2*csc(x) ?
The solution for (dy)/(dx)+(cot(x))y=2*csc(x) is y=(2x)/(sin(x))+(c_{1})/(sin(x))