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A cup of coffee at temperature 100^@C is...

A cup of coffee at temperature `100^@C` is placed in a room whose temperature is `15^@C` and it cools to `60^@C` in 5 minutes. Find its temperature after a further interval of 5 minutes

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The correct Answer is:
`38.82^(@)` C
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FULL MARKS-ORDINARY DIFFERENTIAL EQUATIONS -ADDITIONAL PROBLEMS
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  2. dx+xdy = e^(-y)sec^(2)ydy

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  6. A cup of coffee at temperature 100^@C is placed in a room whose temper...

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  7. The rate at which the population of a city increases at any time is pr...

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  8. The integrating factor of (dy)/(dx) +2 y/x = e^(4x) is :

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  9. If cos x is an integrating factor of the differntial equation (dy)/(dx...

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  10. dx+xdy = e^(-y)sec^(2)ydy

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  11. The integrating factor of (dy)/(dx)+(1)/(xlogx)y= (2)/(x^(2)) is :

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  12. Solution of (dx)/(dy)+mx=0 where m lt 0 is

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  13. y=cx-c^(2) is the general solution of the differential equation.

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  14. Find the differential equation of the family of (i) all non- vertical ...

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  15. The differential equation of all circles with centre at the origin i...

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  16. The differential equation of the family of lines y = mx is :

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  17. The degree of the differntial equation sqrt(1+(dy/dx)^(1//3))=(d^(2)y)...

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  18. The degree of the differential equation rho= (1+((dy)/(dx))^(2))^(3/2...

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  19. The amount present in a radio active element disintegrates a rate ...

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  20. On putting y =vx the homogeneous equation x^(2)dy+y(x+y)dx=0 becomes ...

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