1946 1950 2015 2724 3655 1955 1960 4130 Formulate a differential equation model to describe the growth in petrol consumption and use it to estimate the 1965 and 1970 values. These values are actually 4853 and 6083 respectively. If you think your model is a reasonable one, estimate the 1972 yalue

1946 1950 2015 2724 3655 1955 1960 4130 Formulate a differential equation model to describe the growth in petrol consumption and use it to estimate the 1965 and 1970 values. These values are actually 4853 and 6083 respectively. If you think your model is a reasonable one, estimate the 1972 yalue

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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Concept explainers

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

Growth and Decay-The Differential Equation
(ii) USA petrol consumption (in 1000 barrels per day) is given below.
Year
Consumption
1946
2015
1950
1955
2724
3655
4130
1960
Formulate a differential equation model to describe the growth
in petrol consumption and use it to estimate the 1965 and 1970
values. These values are actually 4853 and 6083 respectively. If
think your
model is a reasonable one, estimate the 1972
you
value.
[The actual 1972 value is 6668]

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