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The solution of the differential equatio...

The solution of the differential equation `xy(dy)/(dx)={(1+y^2)(1+x+x^2)}/(1+x^2)` is:

A

`1/2 log (1 + y^2)= log x -tan^(-1) x +c `

B

`1/2 log (1+y^2) = log x + tan^(-1) x +c `

C

`log (1+y^2)=log x -tan^(-1) x+c `

D

`log (1+y^2) = log x + tan^(-1) x+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
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  2. Solution of the differential equation (dy)/(dx)=(1+y^(2))/(1+x^(2)) is

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  3. The solution of the differential equation xy(dy)/(dx)={(1+y^2)(1+x+x^2...

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  4. The solution of (cosec x log y ) dy + (x^2y)dx=0 is

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  5. The solution of the differential equaton (dy)/(dx)=(x log x^(2)+x)/...

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  6. The solution of the differential equation cos y log (sec x + tan x)dx=...

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  7. The solution of the equation sqrt(a+x) dy/dx + x =0 is

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  8. The general solution of the differential equation (1+x y)y dx+x(1-x y)...

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  9. The solution of y e^(-x/y)dx-(x e^((-x/y))+y^3)dy=0 is (a) ( b ) (c...

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  10. What is the solution of y'=1+x+y^(2)+xy^(2),y(0)=0?

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  11. The solution of y'-y = 1 , y(0)=-1 is given by y(x) =

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  12. The solution of e^(dy//dx) = (x+1) , u (0) = 3 is

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

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  14. Solution of the equation : sin^(-1)((dy)/(dx))=x+y is

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  15. The solution of the differential of the differential equation (dy)/...

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  16. The solution of dy//dx=cos(x+y)+sin(x+y), is given by

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  17. The solution of differential equation x^2 dy/dx=x^2+xy+y^2 is

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

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  19. The differential equation (x + y)dx + xdy=0 is

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  20. The solution of the differential equation x+y(dy)/(dx)=2y is

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