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The differential equation representing a...

The differential equation representing all line at a distance p from the origin is-

A

`(x^2+y^2)dy/dx =2y {x-p(dy/dx)^2}`

B

`(xdy/dx-y)^2 - p^2{1+(dy/dx)^2}` =0

C

`(xdy)/(dx-y)(pdy)/dx +(xdy)/(dx) =0`

D

`(x-y) (dy)/(dx)-(dx)/(dy) =0`

Text Solution

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The correct Answer is:
B
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MOTION-DIFFERENTIAL EQUATION -Exercise 1
  1. The differential equation of the family of curves represented by y = a...

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  2. The differential equation whose solution is (x-h)^2+ (y-k)^2=a^2 is (a...

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  3. The differential equation representing all line at a distance p from t...

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  4. If y =e^((k+1)x) is a solution of differential equation d^2y/dx^2 -4dy...

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  5. The solution to the differential equation ylogy+x y^(prime)=0, where y...

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  6. Solve: (xdy)/(x^2+y^2)=(y/(x^2+y^2)-1)dx

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  7. The solution of the differential equation dy =sec^2x dx is -

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

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  9. The general solution of the differential equation, y^(prime)+yvarph...

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  10. The solution of the differential equation (x^(2)+y^(2))dx = 2xy dy is

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  11. The general solution of x(dy)/(dx)=y-xtan((y)/(x)) is . . . .

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  12. x(dy)/(dx)=y(logy-logx+1)

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

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  14. The solution of the equation x(dy)/(dx) +3y=x is

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  15. The solution of the differential equation (1+y^(2)) dx = (tan^(-1) ...

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  16. The solution of the differential equation (2x -10 y^3) dy/dx +y =0 is

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  17. The solution of the differential equation dy/dx +y =cosx is -

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

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  19. Number of values of m in N for which y=e^(mx) is a solution of the dif...

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  20. The value of the constant 'm' and 'c' for which y = mx + c is a soluti...

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