Q. 185.0( 1 Vote )

# Can y = ax +<span

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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