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If (dy)/(dx)=e^(-2 y)and y=0 "when" x=5 ...

If `(dy)/(dx)=e^(-2 y)and y=0 "when" x=5` then fiind the value of x when y=3

A

`e^(5)`

B

`e^(6)+1`

C

`(e^(6)+9)/(2)`

D

`log_(e)6`

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Exercise
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  11. The differential equation of all ellipses centred at the origin is

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

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

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

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

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

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

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

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

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