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The solution of y^(2) dx + (3xy -1) dy =...

The solution of `y^(2) dx + (3xy -1) dy = 0` is

A

`xy^(3) = y^(2) + c`

B

`xy^(3) = y^(2)//2 + c`

C

`xy^(3) = y^(2)//3 + c`

D

`xy^(3) = x^(3)//2 + c`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIAL EQUATIONS-Exercise 1
  1. The solution of dy/dx(x + y + 1)' = 1

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  2. The differential equation (dy)/(dx) = (1)/(ax + by + c) where a,b,c a...

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  3. The solution of y^(2) dx + (3xy -1) dy = 0 is

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  4. The solution of dx + x dy = e^(-y) sec^(2) y dy is

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  5. The solution of (dy)/(dx) + (3)/(x) y = (1)/(x^(2)), at y=2, x=1

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  6. The solution of (dy)/(dx) + y cot x = 4x cosec x, given that y = 0, x ...

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  7. The solution of (dy)/(dx) + 2y tan x = sin x, given that y = 0, x =(pi...

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  8. The solution of (x + 2y^(3)) (dy)/(dx) = y is

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  9. Integrating factor of (x + 2y^(3)) (dy)/(dx) = y^(2) is

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  10. The solution of the differential equation y' = (1)/(e^(-y) - x), is

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

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

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

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

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  15. The solution of (dy)/(dx) = e^(x-y) (e^(x) - e^(y)) is

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  16. The solution of (dy)/(dx) + x sin 2y = x^(3) cos^(2) y is

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  17. The solution of cos y + (x sin y-1) (dy)/(dx) = 0 is

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  18. Solution of the differential equation cos x dy = y (sin x-y) dx, 0 lt ...

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  19. The solution of y'' + y' = 1 is

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  20. The solution of y'' = y' tan x = sin x is

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