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Form the differential equation from ax^(...

Form the differential equation from `ax^(2) + by^(2) = 1`

A

`xy y_(2) + xy_(1)^(2) - y y_(1) = 0`

B

`xy y_(2) - xy_(1)^(2) - y y_(1) = 0`

C

`xy y_(2) + xy_(1)^(2) + y y_(1) = 0`

D

`xy y_(2) - xy_(1)^(2) + y y_(1) = 0`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - I
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  2. The differential equation of the family of parabolas having vertices a...

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  3. Form the differential equation from ax^(2) + by^(2) = 1

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  4. The differential equation of family of circles of fixed radius 5 units...

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  5. Form the differential equation by eliminating the arbitrary constant f...

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  6. dx + dy = (x + y) (dx -dy) rArr log (x + y) =

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  7. The solution of the equation (dy)/(dx) = e^(-2x) is

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  8. The solution of the cosec^(2x)(dy)/(dx) - (1)/(y) = 0 is

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  9. The solution of (dy)/(dx) = ((y)/(x))^(1//3) is

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  10. The solution of sqrt(1 + x^(2)) dx + sqrt(1 + y^(2)) dy = 0 is

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  11. The solution of x^(2) (dy)/(dx) = sqrt(4 - y^(2)) is

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  12. The solution of 3e^(x) cos^(2) ydx+(1-e^(x)) cot y dy = 0 is

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  13. A particle moves in a line with velocity given by (ds)/(d t) = s+1. Th...

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  14. Equation of the curve passing through the point (4,3) and having slope...

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  15. The slope of a curve at any point on it is the reciprocal of twice of ...

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  16. The solution of (dy)/(dx) = (x^(2) + y^(2))/(xy) is

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  17. The solution of (dy)/(dx) + y = e^(x) is

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  18. The solution of (dy)/(dx) = (y + x tan.(y)/(x))/(x) rArr sin.(y)/(x)=

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  19. The solution of (x^(2) + y^(2)) dx = 2xy dy is

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  20. The equation (dy)/(dx) = (x + 2y-3)/(2x+y-3) can be changed to homogen...

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