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If y=x/(log|cx|) (where c is an arbit...

If `y=x/(log|cx|)` (where `c` is an arbitrary constant) is the general solution of the differential equation `(dy)/(dx)=y/x+varphi(x/y),` then the function `varphi(x/y)` is (a) `( b ) (c) (d)(( e ) (f) x^(( g )2( h ))( i ))/( j )(( k ) (l) y^(( m )2( n ))( o ))( p ) (q) (r)` (s) (b) `( t ) (u)-( v )(( w ) (x) x^(( y )2( z ))( a a ))/( b b )(( c c ) (dd) y^(( e e )2( f f ))( g g ))( h h ) (ii) (jj)` (kk) (c) `( d ) (e) (f)(( g ) (h) y^(( i )2( j ))( k ))/( l )(( m ) (n) x^(( o )2( p ))( q ))( r ) (s) (t)` (u) (d) `( v ) (w)-( x )(( y ) (z) y^(( a a )2( b b ))( c c ))/( d d )(( e e ) (ff) x^(( g g )2( h h ))( i i ))( j j ) (kk) (ll)` (mm)

A

`x^(2)/(y^(2)`

B

`-x^(2)/(y^(2)`

C

`y^(2)/(x^(2)`

D

`-y^(2)/(x^(2)`

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ARIHANT MATHS ENGLISH-DIFFERENTIAL EQUATION -Exercise (Questions Asked In Previous 13 Years Exam)
  1. If y=x/(log|cx|) (where c is an arbitrary constant) is the general ...

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  2. If f:R-{-1}toR and f is differentiable function satisfies: f((x)+f(y...

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  3. A solution curve of the differential equation (x^2+xy+4x+2y+4)((dy)/(d...

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  4. "Let "f:(0.oo)rarrR" be a differentiable function such that "f'(x)=2-...

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  5. Let y(x) be a solution of the differential equation (1+e^(x))y^(')+ye^...

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  6. Consider the family of all circles whose centers lie on the straight l...

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  7. The function y=f(x) is the solution of the differential equation (d...

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  8. Let f:[1/2,1]->R (the set of all real numbers) be a positive, non-cons...

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  9. A curve passes through the point (1,(pi)/(6)). Let the slope of the cu...

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  10. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

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  11. Let f:[0,1]rarrR be a function. Suppose the function f is twice differ...

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  12. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

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  13. Let f:[0,1]toR (the set of all real numbers ) be a function. Suppose t...

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  14. If y(x) satisfies the differential equation y^(prime)-ytanx=2xs e c...

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  15. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

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  16. Let f: R to R be a continuous function which satisfies f(x)= int0^xf(...

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  17. Let a solution y=y(x) of the differential equation xsqrt(x^(2)-1) dy-...

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  18. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

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  19. Let y(x) be the solution of the differential equation (xlogx)(dy)/(dx)...

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  20. Let the population of rabbits surviving at a time t be governed by t...

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  21. At present, a firm is manufacturing 2000 items. It is estimated tha...

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