The rate of increase of the temperature of water being heated in a kettle at any timet is modelled bythe differential equation:do= 1 (120–0), 0s100°dtwhere A is a positive constant and 0 is the temperature of the water Given that 0= 20° when t=0,show that 0 =120-100e by using separable variable method.

We will solve the differential equation by using variable separable method and then use initial…

Answered: The rate of increase of the 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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The motion of an object dropped from a certain height relative to sea level in the atmosphere will be studied. OBTAIN DIFFERENTIAL equations (models) that give the object's position, velocity and acceleration at a certain moment by USING THE PRINCIPLE OF THE CONSERVATION OF ENERGY AND MAKE SOLUTIONS. Assumptions: Frictionless environment, No heat exchange between the object and its environment, No chemical interaction, No phase change, No wind and rain. Special Information: G = mg, V = dy / dt

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