Q. 33.6( 38 Votes )

# In each of

Answer :

(x - y)dy = (x + y)dx  Here, putting x = kx and y = ky  = k0.f(x,y)

Therefore, the given differential equation is homogeneous.

(x - y)dy – (x + y)dx = 0 To make it we make the substitution.

y = vx

Differentiating eq. with respect to x, we get       Integrating both sides we get,    2vdv = dt          The required solution of the differential equation.

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