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The order and degree of the differential...

The order and degree of the differential equation ` sin^(3)x (dx + dy) = cos^(3)x (dx-dy)` is :

A

`(1,1)`

B

`(2,1)`

C

`(2,2)`

D

`(1,2)`

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The correct Answer is:
C
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PREMIERS PUBLISHERS-ORDINARY DIFFERENTIAL EQUATIONS -PROBLEMS FOR PRACTICE (Choose the Correct Answer)
  1. y = ce^(kx) is the solution of the differential equation :

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  2. The order and degree of the differential equation sinx (dx+ dy) = cos ...

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  3. The order and degree of the differential equation sin^(3)x (dx + dy)...

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  4. The differential equation for which solution is y = ae^(3x) +be^(-3x) ...

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  5. The integrating factor of (dy)/(dx)+(1)/(xlogx)y= (2)/(x^(2)) is :

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  6. The degree of the differential equation (y' - 2y '' ) ^(2) = (y')^(4) ...

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  7. If f'(x) = sqrt(x) and f(1) = 2 then f(x) is :

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  8. The order and degree of the differential equation (d^(2)y)/(dx^(2))- y...

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  9. The differential equation of the family of lines y = mx is :

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  10. If (dy)/(dx)= (x-y)/(x+y) then its solution is :

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  11. The integrating factor for (dy)/(dx) - 2y tan x = cos x is :

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  12. The integrating factor of (dy)/(dx) +2 y/x = e^(4x) is :

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  13. Which of the following is a solution of (d^(2)y)/(dx^(2))+ y = 0 :

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  14. The differential equation formed by eliminating A and B for the relat...

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  15. If xy=a^(2) where a is arbitrary constant then :

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  16. The order and degree of the differential equation y'' (y - (y')^(3))...

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  17. The degree of the differential equation rho= (1+((dy)/(dx))^(2))^(3/2...

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  18. The order and degree of the differential equation ((dy)/(dx))^(2) = ...

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  19. The solution of the equation (dx)/(dy) + Px = Q where P and Q are func...

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  20. The degree of the differential equation (d^(2)y)/(dx^(2)) x = sqrt(y +...

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