Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
a) Find the general solution to the following third-order differential equa- tion 2- dz3 + 2y = 3e using the method of undetermined coefficients.

a) Find the general solution to the following third-order differential equa- tion 2- dz3 + 2y = 3e using the method of undetermined coefficients.

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
See similar textbooks
icon
Related questions
Question
a) Find the general solution to the following third-order differential equa- tion + 2y = 3e using the method of undetermined coefficients. b) Company A has a pricing policy that they need to follow in order to set price of good P(t), based on the forecasting sales S(t), inventory level L(t), production level Q(t) and and optimum level Lo (Lo is a constant value). There are various models for pricing policy that the company need to refer on the good produced. One of the models is dP - -k(L(t) – Lo), dt TP Q(t) – S(t), dt dP S(t) = 100 – 52P – 14 dt %3D Q(t) = 18 – 4P, where k is a constant value. i. Show that the model can be presented as a second order differential equation dP dP + 14k + 48KP = 82k. dt? dt ii. Solve the second order differential equation in (i) by using the method of variation of parameters if k = 1.
Transcribed Image Text:a) Find the general solution to the following third-order differential equa- tion + 2y = 3e using the method of undetermined coefficients. b) Company A has a pricing policy that they need to follow in order to set price of good P(t), based on the forecasting sales S(t), inventory level L(t), production level Q(t) and and optimum level Lo (Lo is a constant value). There are various models for pricing policy that the company need to refer on the good produced. One of the models is dP - -k(L(t) – Lo), dt TP Q(t) – S(t), dt dP S(t) = 100 – 52P – 14 dt %3D Q(t) = 18 – 4P, where k is a constant value. i. Show that the model can be presented as a second order differential equation dP dP + 14k + 48KP = 82k. dt? dt ii. Solve the second order differential equation in (i) by using the method of variation of parameters if k = 1.
Expert Solution
steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS