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Which one of the following differential ...

Which one of the following differential equations represents the system of circles touching y-axis at the origin ?

A

`(dy)/(dx) - x^(2) - y^(2)`

B

`2xy "" (dy)/(dx) = y^(2) - x^(2)`

C

`2xy"" (dy)/(dx) = x^(2) - y^(2)`

D

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

Text Solution

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The correct Answer is:
B
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PUNEET DOGRA-DIFFERENTIAL EQUATION -PREV YEAR QUESTIONS
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  4. What is the general solution of the differential equation (dy)/(dx) + ...

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  5. Consider the following in respect of the differential equation (d^(2)y...

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  6. The differential equation of the system of circles touching the y axis...

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  7. If y = a cos 2x + b sin 2x , then

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  8. What is the solution of the differential equation (dy)/(dx) = cos (y -...

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  9. What is the solution of the differential equation (dx)/(dy) = (x + y +...

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  10. If y = sin (l n x) , then which one of the following is correct ?

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  11. What is the solution of the differential equation log ((dy)/(dx)) = ax...

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  12. What is the order of the differential equation whose solution is y = a...

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  13. The equation of the curve passing through the point (-1 , -2) which sa...

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  14. The differential equation of the family of curves y = p cos (ax) + q s...

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  15. What are the order and degree , respectively of the differential equat...

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  16. What is the solution of (1 + 2x) dy - (1 - 2y) dx = 0 ?

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  17. The order and degree of the differential equation y^(2) = 4a (x -a) ,...

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  18. Which one of the following differential equations has a periodic solut...

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  19. What is the solution of the differential equation x dy - y dx = 0 ?

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  20. The differential equation of minimum order by eliminating the arbitrar...

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  21. The order and degree of the differential equation. [ 1 + ((dy)/(dx))...

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