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The differential equation of the system ...

The differential equation of the system of curves given by `(x^(2))/(a^(2)) + (y^(2))/(a^(2) + lambda) = 1`
(`lambda` is arbitrary constant) is

A

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

B

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

C

`x^(2) + xy = a^(2)(dy)/(dx)`

D

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

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
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  2. The differential equation of the family of parabolas with focus at ori...

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  3. The differential equation of the system of curves given by (x^(2))/(a^...

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  4. The solution of (xdx + ydx)/(x^(2) + y^(2)) = 0 is

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  5. The solution of (dy)/(dx) = (1+y^(2))(1+x^(2))^(-1) is

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  6. Tan^(-1)(x) + Tan^(-1)(y) = c is the solution of

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  7. The solution of xd(xy) = ((f(xy))/(f^(1)(xy)))dx is

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  8. The solution of (e^(x) + 1) y dy + (y+ 1) dx = 0 is

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  9. If 2f(x) = f'(x) and f(0) = 3 then f(2) =

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  10. The solution of (dy)/(dx) = (x log x^(2) + x)/(sin y + y cos y) is

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

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

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

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  14. The solution of y dx - xdy + 3x^(2) y^(2) e^(x^(3))dx = 0 is

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  15. The solution of (dy)/(dx) = 2xy - 3y + 2x - 3 is

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  16. The solution of log((dy)/(dx)) = ax + by is

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  17. The solution of y^(2) cos sqrt(x) dx-sqrt(x e)^((1)/(y)) dy = 0 is

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

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  19. The solution of cos y log (sec x + tan x)dx = cos x log (sec y + tan y...

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  20. Solution of the differential equation 2 y sin x (dy)/(dx) = 2 sin x co...

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