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If (dy)/(dx)+ytanx=sin2x and y(0)=1", th...

If `(dy)/(dx)+ytanx=sin2x and y(0)=1", then "y(pi)` is equal to

A

1

B

-1

C

-5

D

5

Text Solution

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-DIFFERENTIAL EQUATIONS -Questions from Previous Years. AIEEE/JEE Main Papers
  1. If the general solution of the differential equation y'=y/x+phi(x/y), ...

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  2. The genral solution if the differnetial equation sin2x((dy)/(dx)-sqrt(...

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  3. If (dy)/(dx)+ytanx=sin2x and y(0)=1", then "y(pi) is equal to

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  4. Let y(x) be the solution of the differential equation (xlogx)(dy)/(dx)...

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

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  6. If y(x) is the solution of the differential equation (x+2)(dy)/(dx)=x^...

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  7. For x inRR,x!=0 if y(x) is a differential function such that x int1^xy...

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  8. The solution of the differential equation dy/dx+y/2secx=tanx/(2y)," wh...

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  9. If a curve y=f(x) passes through the point (1, -1) and differential eq...

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  10. The curve satisftying the differential equation, ydx-(x+3y^2)dy=0 and ...

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  11. A tangent to the curve. Y=f(x) at P(x, y) meets x-axis at A and y-axis...

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  12. If (2+sinx)dy/dx+(y+1)cosx=0 andy(0)=1", then "y(pi/2) is equal to

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  13. The curve satisfying the differential equation (x^2-y^2)dx+2xydy=0 and...

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  14. Let y=y(x) be the solutio of the differential equation dy/dx+2y=f(x), ...

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  15. Let y=y(x) be the solution of the differential equation sinxdy/dx+ycos...

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  16. If dy/dx+3/cos^2xy=1/cos^2x,x((-pi)/3,pi/3), and y(pi/4)=4/3", then "y...

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  17. If y=y(x) is the solution of the differential equation xdy/dx+2y=x^2 s...

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  18. Let f:[0,1]rarrRR be such that f(xy)=f(x)f(y) for all x, y in [0,1] an...

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  19. The solution of the differential equation dy/dx=(x-y)^2, then y(1)=1, ...

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  20. The curve amongst the family of curves represented by the differential...

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