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The equation of the curves through the point (1, 0) and whose slope is `(y-1)/(x^2+x)` is (a) `( b ) (c)(( d ) (e) y-1( f ))(( g ) (h) x+1( i ))+2x=0( j )` (k) (l) `( m ) (n)2x(( o ) (p) y-1( q ))+x+1=0( r )` (s) (t) `( u ) (v) x(( w ) (x) y-1( y ))(( z ) (aa) x+1( b b ))+2=0( c c )` (dd) (ee)None of these

A

(y – 1) (x + 1)+2x = 0

B

2x (y – 1) + x + 1 = 0

C

x (y – 1) (x + 1)+2 = 0

D

x (y + 1) + y (x + 1) = 0

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The correct Answer is:
A
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MOTION-DIFFERENTIAL EQUATION -Exercise 2
  1. The differential equation for the family of curve x^2+y^2-2a y=0, wher...

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  2. The differential equation 2xy dy = (x^2 + y^2 + 1) dx determines

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  3. The equation of the curves through the point (1, 0) and whose slope...

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  4. The solution of the differential equation ydx+ (x +x^2 y) dy =0 is

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  5. A curve passing through (2,3) and satisfying the differential equat...

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  6. Solve: x^2dy-y^2dx+xy^2(x-y)dy=0

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  7. If inta^x ty(t)dt=x^2+y(x), then find y(x)

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  8. If x(dy)/(dx)=y(log y -logx+1), then the solution of the equation is

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  9. Solution of the differential equation (x^(2)-y^(2))dx+2xy dy=0 is

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  10. The equation of the curve passing through origin and satisfying the di...

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  11. passes through a curve point (1,pi/4) and at some point Its gradation ...

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  12. A function satisfying int0^1f(tx)dt=nf(x), where x>0 is

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  13. The general solution of the differential equation (dy)/(dx)+(1+cos2y)/...

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  14. The solution of the differential equation (dy)/(dx)=(xy)/(x^2+y^2) is

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  15. The solution of differential equation (1+y^(2))+(x-e^(tan^(-1)y))(dy...

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  16. The solution of the differential equation, e^x(x +1)dx + (ye^y -xe^x)d...

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  17. The solution of y^5x+y-x dy/dx=0 is

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  18. The solution of the differential equation x^2(dy)/(dx)cos1/x-ysin1/x=-...

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  19. The solution of (dy)/(dx) + y tan x = sec x is

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  20. Solution of the differential equation (dy)/(dx)+ytanx=x^(n)cosx is

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