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The differential equation of the family ...

The differential equation of the family of circles passing through the origin and having centres on the x-axis is

A

`x^2 = y^2 + xy dy/dx`

B

`x^2 = y^2 + 3xy dy/dx`

C

`y^2 = x^2 + 2xy dy/dx`

D

`y^2 = x^2 - 2xy dy/dx`

Text Solution

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The correct Answer is:
C
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MOTION-DIFFERENTIAL EQUATION -Exercise 4
  1. The differential equation of the family of circles passing through the...

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  2. The differential equation of the family of circles with fixed radius 5...

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

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  4. The differential equation which represents the family of curves y=c(1)...

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  5. The solution of differential equation cos x dy = y (sin x - y ) dx,...

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  6. Let I be the purchase value of an equipment and V(t) be the value afte...

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  7. If (dy)/(dx)=y+3 and y(0)=2, then y(ln 2) is equal to

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  8. The population p(t) at time t of a certain mouse species satisfies the...

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  9. At present, a firm is manufacturing 2000 items. It is estimated tha...

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  10. The angle between the lines whose direction cosines satisfy the equ...

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  11. Let the population of rabbits surviving at a time t be governed by ...

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

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  13. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

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  14. If (2+sinx) dy/dx + (y+1) cosx =0and y(0) = 1, then y(pi/2) is equal t...

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  15. Let y=g(x) be the solution of the differential equation sin (dy)/(dx...

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  16. Let f(x) be differentiable on the interval (0,oo) such that f(1)=1 and...

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

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  18. Let a solution y = y(x) of the differential equation xsqrt(x^2-1) dy -...

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  19. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

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  20. If. y (x) satisfies the differential equation y' – y tan x = 2x sec x ...

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