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Solution of the differential equation {1...

Solution of the differential equation `{1/x-(y^2)/((x-y)^2)}dx+{(x^2)/((x-y)^2)-1/y}dy=0` is (a) `( b ) (c)1n|( d ) (e) x/( f ) y (g) (h)|+( i )(( j ) dy)/( k )(( l ) x-y)( m ) (n)=c (o)` (p) (b) `( q ) (r) (s)(( t ) x y)/( u )(( v ) x-y)( w ) (x)=c (y) e^(( z ) (aa) (bb) x/( c c ) y (dd) (ee) (ff))( g g ) (hh)` (ii) (c) `( d ) (e)1n|( f ) x y|=c+( g )(( h ) x y)/( i )(( j ) x-y)( k ) (l) (m)` (n) (d) None of these

A

`ln|(x)/(y)|+(xy)/((x-y))=c`

B

`ln|xy|+(xy)/((x-y))=c`

C

`(xy)/((x-y))=ce^(x//y)`

D

`(xy)/((x-y))=ce^(xy)`

Text Solution

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The correct Answer is:
A
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FIITJEE-TIPS-OBJECTIVE
  1. Let P(x) be a polynomial of degree n with real coefficients and is non...

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  2. The inequality int(0)^(1)(dx)/(1+x^(n))gt1-(1)/(n)(n in N) is true for

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  3. Solution of the differential equation {1/x-(y^2)/((x-y)^2)}dx+{(x^2)/(...

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  4. If the function f:RrarrR and g:R rarrR are such that f(x) is continuou...

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  5. if (x-a)^2+(y-b)^2=c^2 then {1+((dy)/(dx))^2}/{(d^2y)/(dx^2)} =?

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  6. If int(dx)/((x-sqrt(x^(2)-1))^(2))=Ax^(3)+Bx^(2)+Cx+D(x^(2)-1)^(3//2)+...

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  7. int0^oo(pi/(1+pi^2x^2)-1/(1+x^2))logxdxi se q u a lto -pi/21npi (b) ...

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  8. If f:RrarrR and g:R rarrR are two functions such that f(x)+f''(x)=-xg(...

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  9. The absolute maximum value of the function f(x)=((x+1)^(4))/(x^(4)-x^(...

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  10. If f: Rvec is an invertible function such that f(x)a n df^(-1)(x) are ...

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  11. The function f and g are positive and continuous. If f is increasing a...

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  12. If g(x)=max(y^(2)-xy)(0le yle1), then the minimum value of g(x) (for...

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  13. If f(x)=0 is a quadratic equation such that f(-pi)=f(pi)=0 and f(pi/2)...

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  14. If u=sqrt(a^2cos^2theta+b^2sin^2theta)+sqrt(a^2sin^2theta+b^2cos^2thet...

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  15. f(x)={:{(2-,|x^(2),+,5x,+,6|",",xne-2),(a^(2),+1",",x=-2):},then the r...

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  16. If f[1, oo)rarr[1, oo) is defined by f(x)=2^(x(x-1)) then f^(-1)(x)=

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  17. Let f(x)={{:(x^(2)-ax+1",", x lt 0),(b(1-x)^(3)",", x ge0):}. If is a ...

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  18. Maximum number of real solution for the equation ax^(n)+x^(2)+bx+c=0...

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  19. int(e^(x)(x-1)(x-lnx))/(x^(2))dx is equal to

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  20. Range of the function f(x)= x cos( 1/x), xgt1

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