Q8) A body is cooling in surroundings maintained at10.Its temperature after t minutes is given by:dek·(0 – 10) where kis a constant. If the temperature of the body is initially 70°C%3Ddtand 10minutes later is 40"C(a) Find k(b) Find the body's temperature after further 15 minutes.

Given: The differential equation is dθdt=-kθ-10, where k is a constant. Initial temperature: θ0=70°C…

Answered: do - k· (0 – 10), dt where k is a…

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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do - k· (0 – 10), dt where k is a constant. If the temperature of the body is initially 70°C and 10 minutes later is 40°C (a) Find k (b) Find the body's temperature after further 15 minutes.