Find a particular solution of the differential equation dydx+ycotx=1(x=0)4xcosecx(x=0), given that y=0when x=2π

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Question

Find a particular solution of the differential equation $\frac{d x}{d y} + y cot x = 1 (x \neq = 0) 4 x cos e c x$ $(x \neq = 0)$ , given that $y = 0$ when $x = \frac{π}{2}$

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Oliver Discussed

Find a particular solution of the differential equation

\frac{d x}{d y} + y cot x = 1 (x \neq = 0) 4 x cos e c x

(x \neq = 0)

, given that

y = 0

when

x = \frac{π}{2}

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Question Text

Find a particular solution of the differential equation

\frac{d x}{d y} + y cot x = 1 (x \neq = 0) 4 x cos e c x

(x \neq = 0)

, given that

y = 0

when

x = \frac{π}{2}