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b. " +r = 2 cos t

b. " +r = 2 cos t

Advanced Engineering Mathematics
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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Find the function T(t) that describes how the temperature in the home is changing with time, where t 0 is the instant the air conditioning came off. Use Newton's law of cooling with the proportionality constant k = 0.5 per hour. / 4. Find the general real solution for the following second-order differential equations. a. z"-r e b. r"+r =2 cos t c. "+ 4r' +4r = te-24 d. tr"-tr'- 3r = 4t 5. Find the correct form for the particular solution but DO NOT determine the coefficients. / a" + 4r' + 3r = e +e cost+ sin 3t 6. Consider the second-order differential equation OMEN
Transcribed Image Text:Find the function T(t) that describes how the temperature in the home is changing with time, where t 0 is the instant the air conditioning came off. Use Newton's law of cooling with the proportionality constant k = 0.5 per hour. / 4. Find the general real solution for the following second-order differential equations. a. z"-r e b. r"+r =2 cos t c. "+ 4r' +4r = te-24 d. tr"-tr'- 3r = 4t 5. Find the correct form for the particular solution but DO NOT determine the coefficients. / a" + 4r' + 3r = e +e cost+ sin 3t 6. Consider the second-order differential equation OMEN
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