# Show that the fol

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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