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The solution of the differential equatio...

The solution of the differential equation `y(dy)/(dx)=x-1` satisfying y(1) = 1, is

A

`y^(2) = x^(2) + 2x + 2`

B

`y^(2) = 2x^(2) + x +1`

C

`y^(2) = 2x^(2) - x - 1`

D

`y^(2) = x^(2) - 2x +2`

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The correct Answer is:
D
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AAKASH INSTITUTE-DIFFERENTIAL EQUATIONS-Assignment Section - B (Objective Type Questions (One option is correct))
  1. The solution of (dy)/(dx)-y=1, y(0)=1 is given by y(x)=

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  2. The general solution of the differential equaiton (1+y^(2))dx+(1+x^(2)...

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  3. The solution of the differential equation y(dy)/(dx)=x-1 satisfying y(...

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  4. Solution of the differential equation sin x. cos y dy + cos x. sin y d...

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  5. Solution of differential equation (dy)/(dx) = (2)/(x+y) is

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

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

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  8. The slope of tangent at (x,y) to a curve passing through (2, 1) is (x...

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

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

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

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

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

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

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  15. Solution of y dx - x dy = x^(2)ydx is

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

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  17. The second order differential equation is

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

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

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

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