Q. 185.0( 1 Vote )

Can y = ax +<span

Answer :

Given,



If, it should satisfy the above equation


Taking RHS of (*)





= y


= LHS


Hence, is a solution of DE(*)


OR



[1]


Now,



Now, for equation to be homogenous, f(x, y) should be homogenous


i.e.


f (zx, zy) = znf(x, y)


Now,



≠ znf (x, y) for any n


Hence, the given equation is not homogenous


Now, put y = vx



Therefore [1], becomes











Integrating both sides,



Put



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