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The order of the differential equation ...

The order of the differential equation
` (d^(2)y)/(dx^(2)) = sqrt(1+((dy)/(dx))^(2))` is

A

3

B

2

C

1

D

4

Text Solution

Verified by Experts

The correct Answer is:
b
Given differential equation is
` (d^(2)y)/(dx^(2)) = sqrt(1+((dy)/dx)^(2)) = 1+ (dy/dx)^(2)`
Hence, order is 2
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DIFFERENTIAL EQUATION-PRACTICE EXERCISE (Exercise 2 )
  1. The order of differential equation of all circles of given radius 'a'...

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  2. The degree of the differential equation x = 1 ((dy)/(dx)) + 1/(2!)...

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  3. The order of the differential equation (d^(2)y)/(dx^(2)) = sqrt(1+...

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  4. The differential equation representing the family of curves y^(2) = ...

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  5. The order and degree of the differential equation [1+((dy)/(dx))^(2)]^...

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  6. The degree and order of the differential equation y=px+root3(a^(2...

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  7. The order and the degree of the differential equation y = x (dy)/(dx...

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  8. The order and the degree of the differential equation sqrt(y+ (d^(2)...

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  9. The differential equation of the family of parabolas with focus at the...

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

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  11. The differential equation of the family of straight lines whose slope ...

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  12. The differential equation of the family of straight lines whose slope ...

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  13. The differential equation of all parabolas whose axis are parallel to ...

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  14. The differential equation of the family of circles passing through the...

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  15. Let F be the family of ellipse whose centre is the origin and major ax...

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  16. The differential equation of all non-horizontal lines in a plane is

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  17. Which of the following differential equation has y = C(1)e^(x) + C(2...

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  18. Find a particular solution of the differential equation(x-y)(dx+dy) ...

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  19. Find the particular solution of the differential equation (1+e^(2x))dy...

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  20. A continuously differentiable function phi(x) in (0,pi) satisfying y'=...

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