Q29 of 45 Page 1

Show that the differential equation is homogeneous. Find the particular solution of this differential equation, given that when x = 1.

Formula:- (i)


(ii)where a is constant


(iii)


Given:-


differential equation



Arranging the equation



……………(i)


let



Putting y = vx


Diff w.r.t x



Putting value of and y = vx in (i)







Integrating above




-cotv = -log|x|+c


Log|x|-cotv = c


Putting value of


--------------(2)


Putting x = 1 &



0-1 = c


C = -1


Putting value of c in (2)





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