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The differential equation of all circles...

The differential equation of all circles which passes through the origin and whose centers lie on Y-axis is

A

`x(d^(2)y)/(dx^(2))+((dy)/(dx))^(3)+(dy)/(dx)=0`

B

`x(d^(2)y)/(dx^(2))+((dy)/(dx))^(3)-(dy)/(dx)=0`

C

`x(d^(2)y)/(dx^(2))-((dy)/(dx))^(3)+(dy)/(dx)=0`

D

`x(d^(2)y)/(dx^(2))-((dy)/(dx))^(3)-(dy)/(dx)=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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NIKITA PUBLICATION-Differential Equation-MULTIPLE CHOICE QUESTION
  1. The differential equation of all circles which passes through the orig...

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  2. The differential equation of all circles which passes through the orig...

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  3. The differential equation of all circles which passes through the orig...

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  4. Form the differential equation of the family of circles touching th...

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  5. Form the differential equation representing the parabolas having ve...

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  6. Fid the differential equation of all the parabolas with latus rectu...

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  7. Show that the differential equation of all parabolas y^2 = 4a(x - b) i...

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  8. The differential equation of all parabolas whose axis are parallel ...

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  9. Form the differential equation of the family of parabolas having ve...

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  10. The differential equation of all parabolas whose axis are parallel ...

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  11. The differential equation (d^(2)y)/(dx^(2))=2 represents which of the ...

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  12. The differential equation for all ellips whose major axis is twice its...

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  13. The equation of the ellips is (x^(2))/(36)+(y^(2))/(16)=k. The differe...

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  14. The differential equation satisfied by sqrt(1-x^(2))+sqrt(1-y^(2))=a(x...

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  15. Consider the equation (x^2)/(a^2+lambda)+(y^2)/(b^2+lambda)=1, where a...

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  16. The differential equation for x^(3)+y^(3)=4ax is

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  17. Form of the differential equation of all family of lines y=mx+(4)/(m) ...

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  18. The differential equation for y^(2)=(x+A)^(3) is

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  19. The differential equation of y = c^(2) + c/x is

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  20. The differential equation, which represents the family of plane curves...

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