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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))=-cosx ,y(0)=1,` then `y(pi/2)=`

A

`(1)/(3)`

B

`(2)/(3)`

C

`-(1)/(3)`

D

1

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The correct Answer is:
A
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AAKASH INSTITUTE ENGLISH-DIFFERENTIAL EQUATIONS-Assignment Section - B (Objective Type Questions (One option is correct))
  1. Solution of differential equation (dy)/(dx) = (2)/(x+y) is

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

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

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  4. The slope of the tangent at (x , y) to a curve passing through a po...

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  5. The solution of the differential equation (dy)/(dx) = (y)/(x)+ (Q((...

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  6. The solution of differential equation x^(2)y^(2)dy = (1-xy^(3))dx is

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  7. Solve the following differential equation: (1+x^2)(dy)/(dx)+y=e^tan^((...

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  8. ydx+(x+x^(2)y)dy=0

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  9. The family whose x and y intercepts of a tangent at any point are resp...

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  10. The solution of the equation y' = cos (x-y) is

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  11. Solution of y dx – x dy = x^2 ydx is:

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  12. The equation of the curve, slope of whose tangent at any point (h, k) ...

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  13. Which of the following is a second order differential equation

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  14. The order of the differential equation whose general solution is y = (...

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  15. The equation of curve in which portion of y-axis cutoff between origin...

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  16. A curve y=f(x) passes through point P(1,1) . The normal to the curv...

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  17. Solve the following differential equation: tany(dy)/(dx)=sin(x+y)+sin(...

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  18. For solving dy/dx = 4x +y +1, suitable substitution is

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  19. A continuously differentiable function phi(x) in (0,pi) satisfying y'=...

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  20. Solve (1+e^(x/y))dx+e^(x/y)(1-x/y)dy=0

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