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The order and the degree of the differen...

The order and the degree of the differential equation ` y = x (dy)/(dx) +2/(dy//dx)` are

A

1,2

B

1,3

C

2,1

D

1,1

Text Solution

Verified by Experts

The correct Answer is:
a
Given differential equation is
` y = x(dy)/(dx) + 2/(dy//dx) rArr y (dy)/(dx) = x ((dy)/(dx))^(2) +2`
Here , order = 1 degree = 2
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DIFFERENTIAL EQUATION-PRACTICE EXERCISE (Exercise 2 )
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  2. The degree and order of the differential equation y=px+root3(a^(2...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. The solution of the differential equation e^(-x) (y+1) dy +(cos^(2) x...

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  20. The solution of the differential equation (dy)/(dx) = (x-2y+1)/(2x...

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