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The equation of curve passing through (0...

The equation of curve passing through (0,1) which is a solution of differential equation `(1 + y^(2)) dx + (1 + x^(2)) dy = 0` is given by

A

`Tan^(-1) x + Tan^(-1) y = 0`

B

`Tan^(-1) x + Tan^(-1) y - (pi)/(4) = 0`

C

`Sing^(-1) x + Sing^(-1) = 0`

D

`Sinh^(-1) x Sinh^(-1) y + log (1 + sqrt2) = 0`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIAL EQUATIONS-Exercise 1
  1. The subnormal at any point of a curve is of constant length '8'. Then ...

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  2. The equation of curve passing through (1,3) whose slope at any point (...

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  3. The equation of curve passing through (0,1) which is a solution of dif...

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  4. The equation of curve passing through ( ) satisfying the differential ...

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  5. The equation of curve passing through (pi^2/4,1), which has a solution...

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

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

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

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

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

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

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

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

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  14. The solution of the differential equation xy^(2) - (x^(3) + y^(3)) dx ...

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

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

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  17. The solution of x dx + y dy = 2 (xdy-ydx) is

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  18. The solution of (dy)/(dx) = (x-y)/(x+y) is

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  19. The solution of (dy)/(dx) = (2x -y)/(2y-x) is

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  20. The solution of the differential equation 3xy' - 3y + (x^(2) - y^(2))^...

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