# In each of the question, show that the given differential equation is homogeneous and solve each of them.       Here, putting x = kx and y = ky  = k0.f(x,y)

Therefore, the given differential equation is homogeneous.     To solve it we make the substitution.

y = vx

Differentiating eq. with respect to x, we get          Integrating both sides, we get  Put, logv – 1 = t  logt

log(logv - 1)

log(logv - 1) – log(v) = log(x) + log(c) (From (i) eq.)     The required solution of the differential equation.

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