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If x dy =y (dx+y dy), y(1) =1and Y(x)gt ...

If `x dy =y (dx+y dy), y(1) =1`and `Y(x)gt 0`. Then, `y (-3)
is epual to

A

1

B

3

C

5

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
B
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
  1. The integrating factor of the differential equation (1-x^(2))(dy)/(d...

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  2. An integrating factor of the differential equation x(dy)/(dx) +y l...

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  3. The integrating factor of (1+y^(2)) dx = (tan^(-1)y-x) dy is -

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  4. The solution of the differential equation (dy)/(dx)+2ycotx=3x^2cosec^2...

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  5. The solution of "dy"/"dx"+2ytan x =sin x is

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  6. The solution of the equation dy/dx=1/(x+y+1) is

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  7. The solution of the differential equation x"dy"/"dx"+y=x^2 +3x +2 is

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  8. The solution of the differential equation xlogx(dy)/(dx)+y=2logx is

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  9. The solution of the differential equation (dy)/(dx) +(3x^(2))/(1+x...

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  10. Solution of the differential equation (dy)/(dx)+ysec^2 x = tan x sec^2...

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  11. Solution of the equation (x+2y^3)(dy)/(dx)-y=0 , (y > 0) is

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  12. Solution of the equation (x+log y ) dy + y dx =0 is

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  13. The integrating factor of the differential equation (dy)/(dx)=y tan x-...

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  14. The solution of the differential equation x(dy)/(dx) = 2y + x^(3)e^(x...

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  15. If x dy =y (dx+y dy), y(1) =1and Y(x)gt 0. Then, y (-3) is epual to

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  16. The slope of the tangent to the curve at any point is equal to y + 2x....

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  17. The population of a town increases at a rate proportional to the popul...

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  18. The rate of increases of bacteria in a certain culture is proportional...

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  19. A body cool from 90^@C to 70^@C in 10 minutes if temperature of surrou...

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  20. The rate o growth of bacteria is proportional to the number present . ...

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