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A thermometer reading 80^@F is taken out...

A thermometer reading `80^@F` is taken outside. Five minutes later the thermometer reads `60^@F` . After another 5 minutes the thermometer reads `50^@F` . What is the temperature outside?

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To solve the problem using Newton's Law of Cooling, we will follow these steps: ### Step 1: Set Up the Equation According to Newton's Law of Cooling, the rate of change of temperature of an object is proportional to the difference between its temperature and the ambient temperature. We can express this as: \[ \frac{dT}{dt} = -\lambda (T - S) \] ...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Solve x (dy)/(dx)sin(y/x)+x-ysin(y/x)=0 given y(1)=pi/2

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  2. Solve: x(dy)/(dx)=y-xtan(y/x)dot

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  3. A thermometer reading 80^@F is taken outside. Five minutes later the t...

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  4. The doctor took the temperature of a dead body at 11.30 Pm which was 9...

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  9. A spherical rain drop evaporates at a rate proportional to its surf...

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  10. Water at temperature 100^@C cools in 10 minutes to 88^@C in a room of ...

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  11. Solve the following differential equations: (dy)/(dx)=sin^3xcos^2x+x ...

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  12. Solve: (dy)/(dx)=1/(sin^4x+cos^4x)

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  13. Solve the initial value problem e^((dy//dx))=x+1; y(0)=5.

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  14. Solve the following initial value problems: (22-26) sin((dy)/(dx))=k ...

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  15. Solve the initial value problem e^((dy//dx))=x+1; y(0)=5.

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  16. Solve the following initial value problems: (22-26) x(x^2-1)("dy")/("...

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  17. Solve: 1.(x+1)(dy)/(dx)=2x y 2.cosx(1+cosy)dx-s in y(1+sinx)dy=0

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  18. Solve the following differential equations: y-x(dy)/(dx)=a(y^2+(dy)...

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  19. Solve: log((dy)/(dx))=a x+b y

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  20. Solve the initial value problem y^(prime)=ycot2x ,y(pi/4)=2.

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