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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) `( b ) (c) (d)1/( e )3( f ) (g) (h)` (i) (b) `( j ) (k) (l)2/( m )3( n ) (o) (p)` (q) (c) `( r ) (s)-( t )1/( u )3( v ) (w) (x)` (y) (d) 1

A

`(1)/(3)`

B

`(2)/(3)`

C

`-(1)/(3)`

D

1

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AAKASH INSTITUTE-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 tangent at (x,y) to a curve passing through (2, 1) is (x...

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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. The solution of differential equation (1+x^(2)) (dy)/(dx) + y = e^(...

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

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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. The second order differential equation is

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

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  15. The real value of n for which substitutor transform differential equat...

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

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  17. A curve y = f(x) passes through point P(1,1). The normal to curve at p...

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

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

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

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