Q. 203.7( 3 Votes )

Show that the fol

Answer :

Given:


To find: a particular solution of the given differential equation













{ λ0= 1}


So, F(x, y) is a homogeneous function of degree zero


It is a homogeneous differential equation


Let y = vx


Differentiating with respect to x:














Integrating both sides:







Let log v – 1 = t





Now, put t = log v – 1:


log(log v – 1) = log |x| + log v + log c


log(log v – 1) = log vxc


log v – 1 = vxc


Put :





Hence, the solution of differential equation is


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