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The solution of differential edquation (...

The solution of differential edquation `(dy)/(dx) +1 = cosec (x+y)` is

A

`cos(x+y)+x=c`

B

`cos(x+y)=c`

C

`sin(x+y)+x=c`

D

`sin(x+y)+sin(x+y)=c`

Text Solution

Verified by Experts

The correct Answer is:
A
Given, `(dy)/(dx)+1="cosec"(x+y)`
Put `x+y=t`
`implies1+(dy)/(dx)=(dt)/(dx)`
`therefore(dt)/("cosec t")=dx`
`impliesintsintdt=intdx`
`implies-cost=x-c`
`impliescos(x+y)+x=c`
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