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The differential equation 2xy dy = (x^2 ...

The differential equation `2xy dy = (x^2 + y^2 + 1)` dx determines

A

A family of circles with centre on x-axis

B

A family of circles with centre on y-axis

C

A family of rectangular hyperbola with centre on x-axis

D

A family of rectangular hyperbola with centre on yaxis

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The correct Answer is:
C
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MOTION-DIFFERENTIAL EQUATION -Exercise 2
  1. The differential equation which represents the family of plane curves ...

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  2. The differential equation for the family of curve x^2+y^2-2a y=0, wher...

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  3. The differential equation 2xy dy = (x^2 + y^2 + 1) dx determines

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  4. The equation of the curves through the point (1, 0) and whose slope...

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

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  6. A curve passing through (2,3) and satisfying the differential equat...

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  7. Solve: x^2dy-y^2dx+xy^2(x-y)dy=0

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  8. If inta^x ty(t)dt=x^2+y(x), then find y(x)

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

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  10. Solution of the differential equation (x^(2)-y^(2))dx+2xy dy=0 is

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  11. The equation of the curve passing through origin and satisfying the di...

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  12. passes through a curve point (1,pi/4) and at some point Its gradation ...

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  13. A function satisfying int0^1f(tx)dt=nf(x), where x>0 is

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  14. The general solution of the differential equation (dy)/(dx)+(1+cos2y)/...

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  15. The solution of the differential equation (dy)/(dx)=(xy)/(x^2+y^2) is

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  16. The solution of differential equation (1+y^(2))+(x-e^(tan^(-1)y))(dy...

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  17. The solution of the differential equation, e^x(x +1)dx + (ye^y -xe^x)d...

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  18. The solution of y^5x+y-x dy/dx=0 is

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  19. The solution of the differential equation x^2(dy)/(dx)cos1/x-ysin1/x=-...

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  20. The solution of (dy)/(dx) + y tan x = sec x is

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