Show that you have reasoned about the problem a way that is correct and based onthe ideas. Question 1. Is the equation k-homogeneous? Explain your answer.Do Not solve the ODE.(a) (t³+x³)x'+tx² = t²xand (b) x'=x - tx-t+1

The differential equations are provided as: (a) t3+x3x'+tx2=t2x (b) x'=x-tx-t+1 We need to determine…

Answered: Question 1. Is the equation…

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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A marketing firm wishes to test the effectiveness of the audio/visual presenation of certain information as opposed to the purely audio presentation of information. To this end250 volunteers were given a 10 minute presentation in which the information was presented in an audio/visual format. A second group of 250 volunteers was presented the same information in a purely audio format. Each person in each of the two groups was asked the same 20 questions related to the infomrstion in the presentation. The audio/visual grouo had an average of 10.2 correct responses with a sample standard deviation of 4. The purely audio group had an average of 9.4 correct responses with a standard deviation of 3. The marketing firm believes this means that the audio /visual format leads to better retention of the information. We test the hypothesed H1: µ1 - µ2 = 0 versus Ha: µ1-µ>0 at a 2% level of significance. Here µ1 denotes the population average number of correct responses for individuals…
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A serious side effect of allergy medicines is that they cause drowsiness, which can cause many problems for the individuals taking them. In recent years, a new non-drowsy allergy medicine has been developed. The company that created the medicine claims to be the first, once-a-day, non-drowsy allergy medicine (call it Medicine A). An independent research group wanted to check on this claim by comparing medicine A with another allergy medicine not advertised as non-drowsy (call it Medicine B). A random sample of 3,193 allergy sufferers was selected and each individual was randomly assigned to take either Medicine A or Medicine B. From the Medicine A group, 114 of 1,604 reported drowsiness and from the Medicine B group, 155 of 1,589 reported drowsiness. Calculate and label the two sample proportions separately. Next, calculate the difference between these sample proportions by subtracting (Medicine A – Medicine B). Complete these calculations by hand, label each of them, and…
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Question 1. Is the equation k-homogeneous? Explain your answer. Do Not solve the ODE. (a) (t³+x³)x'+tx² = t²x and (b) x' = x-t x-t+1