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Obtain the differential equation of the ...

Obtain the differential equation of the family of circles passing through the point (a,0) and (-a,0).

A

`y_(1) (y^(2)-x^(2)) + 2xy+ a^(2)=0`

B

`y_(1) y^(2) +xy + a^(2)x^(2)=0`

C

`y_(1) (y^(2)-x^(2) + a^(2)) + 2xy=0`

D

`y_(1) (y^(2) + x^(2)) -2xy + a^(2)=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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  14. Solution of the differential equation (1+e^(x/y))dx + e^(x/y)(1-x/y)dy...

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  16. The solution of the differential equation y sin (x//y) dx= (x sin (x//...

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  17. The solution of the differential equation (dy)/(dx) + (y)/(x log(e)x)=...

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  18. General solution of y(dy)/(dx) + by^(2)=a cos x, 0 lt x lt 1 is

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  19. If u(x) and v(x) are two independent solution of the differential equa...

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  20. If cos x and sinx are the solution of differential equation ao (d^2y)/...

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