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The order and degree of the differential...

The order and degree of the differential equation `[1+((dy)/(dx))^(2)]^(3//4)=((d^(2)y)/(dx^(2)))^(1//3)`

A

(2,4)

B

(2,3)

C

(6,4)

D

(6,9)

Text Solution

Verified by Experts

The correct Answer is:
a

Given differential equation can be rewritten as
` [ 1+((dy)/dx)^(2)]^(3/4 xx12) = ((d^(2)y)/(dx^(2)))^(1/3 xx12) rArr [ 1 + ((dy)/(dx))^(2)]^(9) = ((d^(2)y)/dx^(2))^(4)`
Here, we see that order of highest derivative is 2 and degree is 4 .
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DIFFERENTIAL EQUATION-PRACTICE EXERCISE (Exercise 2 )
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  2. The differential equation representing the family of curves y^(2) = ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. The solution of the differential equation y dx - (x + 2y^2)dy=0 is x=f...

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  20. The solution of the differential eqution (d^(2)y)/(dx^(2)) = e^(-2x) ...

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