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A particle moves in a straight line with...

A particle moves in a straight line with a velocity given by ` ( dx) /( dt) = x+1` ( x is thhe distance travelled). If the time taken by a particle to traverse a distance of 99m is ` lamda `then the value of must be…

A

`log_(10)e`

B

`log_(e)10`

C

`2log_(10)e`

D

`(1)/(2)log_(10)e.`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Exercise
  1. The equation of the curves through the point (1, 0) and whose slope...

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  2. about to only mathematics

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  3. A particle moves in a straight line with a velocity given by ( dx) /(...

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  4. If (dy)/(dx)=e^(-2 y)and y=0 "when" x=5 then fiind the value of x when...

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  5. Find the equation of a curve passing through origin and satisfying the...

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  6. The slope of the tangent at (x , y) to a curve passing through (1,p...

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  7. If phi (x)=phi '(x) and phi(1)=2, then phi(3) equals

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  8. about to only mathematics

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  9. The curve for which the slope of the tangent at any point is equal to ...

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  10. The curve in the first quadrant for which the normal at any point (...

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  11. The function f(theta)=d/(dtheta)int0^theta(dx)/(1-costhetacosx) satisf...

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  12. The differential equation of all ellipses centred at the origin is

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  13. The differential equation of the curve for which the initial ordina...

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  14. The equation of the curve whose subnormal is constant is

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  15. The degree of the differential equation y(3)^(2//3)+2+3y(2)+y(1)=0, ...

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  16. The degree of the differential equation satisfying sqrt(1-x^2)+sqrt...

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  17. The order of the differential equation whose general solution is gi...

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  18. The equation of the curve satisfying the differential equation y^2 (x^...

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  19. A differential equation associated to the primitive y=a+b e^(5x)+c ...

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  20. Write the order of the differential equation associated with the pr...

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