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The solution of the differential equatio...

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

A

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

B

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

C

`tan(xy)=c`

D

`y-x=c(1+xy)`

Text Solution

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The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 4
  1. The value of int(dx)/(2sqrt(x)(x+1)) is -

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  2. The value of the integral int(0)^(1) (dx)/( x^(2)+2x cos alpha +1) is...

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  3. Let (d)/(dx) F(x)=(e^(sin x))/(x), x gt 0, If int(1)^(4) (3)/(x) ...

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  4. The value of int(0)^(1000)e^(x-[x])dx is equal to -

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  5. int(0)^(2a)f(x)dx is equal to -

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  6. int sin^(3)x cos x dx is equal to -

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  7. The value of int(0)^(1)sin[2tan^(-1)sqrt((1+x)/(1-x))]dx is equal to -

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  8. The value of int sqrt(1+"sin"(x)/(4))dx is equal to -

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  9. The value of int((1)/(e ))^(e )|log x|dx is equal to -

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  10. If f(t) is an odd function, then int(0)^(x)f(t) dt is -

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  11. The value of int((pi)/(4))^((3pi)/(4))(dx)/(1+cosx) is -

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  12. The solution of the differential equation (x+2y^(3))(dy)/(dx)=y is -

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  13. The integrating factor of linear differential equation (dy)/(dx)+y tan...

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  14. The order and degree of the differential equation representing the fam...

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

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  16. The degree of the differential equation (dy)/(dx)-x=(y - x(dy)/(dx))^(...

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  17. The solution of the equation (dy)/(dx)=sqrt(1-x^(2)-y^(2)+x^(2)y^(2))...

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  18. The solution of the equation (dy)/(dx)=(xlogx^(2)+x)/(sin y+y cosy) is...

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

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  20. The solution of the differential equation e^((dy)/(dx))=x+1, when y(0)...

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