Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
In this problem, we'll rederive the Var of Par equations, but for y" - 5y' + 6y = f(t) Where f(t) is an inhomogeneous term Recall that the homogeneous solution is yo Ae2+ Best Variation of Parameters: Suppose yp is of the form Yp = u(t)e²t +v(t)e³t And suppose for simplicity that e²tu' (t) + e³¹ v′ (t) = 0 Calculate (yp)' and (yp)" and plug into the ODE to show (2e2t) u'(t) + (3e) v' (t) = f(t)

In this problem, we'll rederive the Var of Par equations, but for y" - 5y' + 6y = f(t) Where f(t) is an inhomogeneous term Recall that the homogeneous solution is yo Ae2+ Best Variation of Parameters: Suppose yp is of the form Yp = u(t)e²t +v(t)e³t And suppose for simplicity that e²tu' (t) + e³¹ v′ (t) = 0 Calculate (yp)' and (yp)" and plug into the ODE to show (2e2t) u'(t) + (3e) v' (t) = f(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
See similar textbooks
icon
Related questions
Question

Please help with theory question

In this problem, we'll rederive the Var of Par equations, but for y" – 5y' + 6y = f(t) Where f(t) is an inhomogeneous term Recall that the homogeneous solution is yo = Ae²t +Be³t Variation of Parameters: Suppose yp is of the form Yp = u(t)e²t + v(t)e³t And suppose for simplicity that e²tu' (t) + e³¹ v′ (t) = 0 Calculate (yp)' and (yp)" and plug into the ODE to show (2e²t) u'(t) + (3e³t) v'(t) = f(t)
Transcribed Image Text:In this problem, we'll rederive the Var of Par equations, but for y" – 5y' + 6y = f(t) Where f(t) is an inhomogeneous term Recall that the homogeneous solution is yo = Ae²t +Be³t Variation of Parameters: Suppose yp is of the form Yp = u(t)e²t + v(t)e³t And suppose for simplicity that e²tu' (t) + e³¹ v′ (t) = 0 Calculate (yp)' and (yp)" and plug into the ODE to show (2e²t) u'(t) + (3e³t) v'(t) = f(t)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

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