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If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=...

If `y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cos x,y(0) =1` then `y (pi/2)` equals :

A

`1/3`

B

`2/3`

C

`-1/3`

D

1

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The correct Answer is:
A
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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Multiple Choice Questions - LEVEL - II
  1. The solution of the differential equation x^2(dy)/(dx)-xy=1+cos""(y)/x...

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  2. The solution of the equation x+y(dy)/(dx)=2y is :

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  3. The differential equation of all circles which pass through origin and...

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  4. The curve for which the slope of the tangent at any point equals the r...

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  5. The slope of the tangent at (x,y) to a curve passing through (1,pi//4)...

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  6. Solution of y dx - x dy = x^2 ydx is :

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  7. Solution of (x+y-1)dx+(2x+3y-3)dy=0 is :

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  8. The equation of the curve, which does not pass through (0,0) and havin...

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  9. The solution of the differential equation : (1+y^2)+(x-e^(tan^(-1)y...

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  10. If y(t) is solution is (t+1)(dy)/(dx)-ty=1,y(0)=-1 At t=1, the souluti...

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  11. The differential equation for the family of curves x^2+y^2-2ay=0, wher...

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  12. The solution of the differential equation : y dx +(x+x^2y)dy=0 is :

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

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  14. x" "dy=y" "dx +y^2and y(1) =1 , then y (-3) is equal to :

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  15. The differential equation whose solution is Ax^2+By^2=1, where A and B...

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  16. The differential equation of all circles passing through the origin an...

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  17. The normal to a curve at P (x,y) meets the x - axis at G . If the dist...

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  18. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cos x,y(0) =1 then y (pi/2) e...

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  19. If (x^2+y^2)dy=xy dxand y (1) = 1 . If f(x0)=e, then x0 is equal to :

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  20. The differential equation : (dy)/(dx)=(sqrt(1-y^2))/y determines a fam...

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