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An ice ball melts at the rate proportion...

An ice ball melts at the rate proportional to the amount of ice at any instant. If `(2/3)rd` quantity melts in 2 hours and if initially quantity of ice is `n_0`, find the amount left after 6 hours.

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CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
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  2. Bacteria multiply at the rate proportional to the number of bacteria p...

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  3. An ice ball melts at the rate proportional to the amount of ice at any...

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  4. The rate of decay of the mass of a radioactive substance at any time i...

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  5. Bacteria grow at rate proportional to the number of bacteria present i...

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  6. The order and degree of differential equation sqrt((1+(dy/dx)^2)=((d^2...

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  7. The differential equation of y=c^2+c/x is

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  8. x^2+y^2=a^2 is a solution of

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  9. The differential equation of all circles having their centre on the y=...

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

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

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

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

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

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

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

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

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

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

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

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