The solution of the differential equation `((dy)/(dx))^2-x(dy)/(dx)+y=0` is (a) `( b ) (c) y=2( d )` (e) (b) `( f ) (g) y=2x (h)` (i) (c) `( d ) (e) y=2x-4( f )` (g) (d) `( h ) (i) y=2( j ) x^(( k )2( l ))( m )-4( n )` (o)

Options

A. y =x-1
B. `4y=x^(2)`
C. y=x
D. y = -x -1

Answer

C

Explanation

Given differential equation is
` ((dy)/(dx))^(2) -x ((dy)/(dx))+y=0`
From the options only option © does not satisfy the given diff equation .
Hence, y=x is not a solution of given diff equation.