2. Water is being heated in a kettle. At time t seconds, the temperature of water is T°C.The rate of increase of the water temperature is modelled as follows:dT- = k(120 – T), k=0.01 1dtsecGiven T = 20°C when t = 0, solve the differential equation and find the time requiredto reach 90°C of temperature.

2. Water is being heated in a kettle. At time t seconds, the temperature of water is T°C. The rate of increase of the water temperature is modelled as follows: k(120 – T), k=0.011 dt sec Given T = 20°C when t = 0, solve the differential equation and find the time required to reach 90°C of temperature.

2. Water is being heated in a kettle. At time t seconds, the temperature of water is T°C. The rate of increase of the water temperature is modelled as follows: k(120 – T), k=0.011 dt sec Given T = 20°C when t = 0, solve the differential equation and find the time required to reach 90°C of temperature.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

2. Water is being heated in a kettle. At time t seconds, the temperature of water is T°C.
The rate of increase of the water temperature is modelled as follows:
dT
- = k(120 – T), k=0.01 1
dt
sec
Given T = 20°C when t = 0, solve the differential equation and find the time required
to reach 90°C of temperature.

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