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The solution of 1/x dy/dx=tan^(-1)x is……...

The solution of `1/x dy/dx=tan^(-1)x` is……….

A

`(x^2 tan^(-1)x)/2+x=0`

B

`x tan^-1 x+c=0`

C

`x-tan^-1 x=c`

D

`y=(x^2 tan^-1 x)/2-1/2(x.tan^-1 x)`

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CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. The differential equation of all circles having their centre on the y=...

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  2. The differential equation y dy/dx+x=0 represents family of……..

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  3. The solution of 1/x dy/dx=tan^(-1)x is……….

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

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

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  6. The solution of dy/dx+y=cos x-sin x is

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  7. The integrating factor of linear differential equation x dy/dx+2y=x^2 ...

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  8. The solution of the differential equation dy/dx=sec x-y tan x is

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  9. The particular solution of dy/dx=xe^(y-x) when y=0, x=0 is

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  10. The decay rate of certain substance is directly proportional to the am...

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  11. The order and degree of the differential equation d^3y/dx^3+(dy/dx)^4+...

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  12. The order and degree of the differential equation [1+(dy/dx)^3]^(7/3=7...

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  13. The order and degree of the differential equation sqrt(1+(dy/dx)^3)=(d...

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  14. The order and degree of the differential equation of parabolas whose ...

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  15. The differential equation of x^2+y^2=2Ax is

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  16. The differential equation obtained by eliminating arbitrary constants ...

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  17. The differential equation obtained by eliminating arbitrary constants ...

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  18. The standard substitution for solving any homogeneous differential equ...

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  19. Solution of the differential equation dy/dx+(1+cos 2y)/(1-cos 2x)=0 is...

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  20. The solution of the differential equation sec^2y tan x dy+sec^2x tan y...

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