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The function f(theta)=d/(dtheta)int0^the...

The function `f(theta)=d/(dtheta)int_0^theta(dx)/(1-costhetacosx)` satisfies the differential equation (a) `( b ) (c) (d)(( e ) df(( f )theta( g )))/( h )(( i ) dtheta)( j ) (k)+2f(( l )theta( m ))=0( n )` (o) (p) `( q ) (r) (s)(( t ) df)/( u )(( v ) dtheta)( w ) (x)-2f(( y )theta( z ))cottheta=0( a a )` (bb) (cc) `( d d ) (ee) (ff)(( g g ) df)/( h h )(( i i ) dtheta)( j j ) (kk)+2f(( l l )theta( m m ))=0( n n )` (oo) (d) `( p p ) (qq) (rr)(( s s ) df)/( t t )(( u u ) dtheta)( v v ) (ww)-2(( x x )theta( y y ))=0( z z )` (aaa)

A

`(df)/(d theta) +2f (theta)= 0`

B

`(df)/(d theta)-2 f(theta)=0`

C

`(d f)/(d theta)-2f (theta) tan theta=0`

D

`(df)/(d theta)+2f(theta) cot theta=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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