1. Solve the following homogenous differential equations using two methods: 1) x(t) = et substitution and 2) Matrix eigenvalue method, 3) Using isoclines (a) -3x-4x=0; (b) -5x+4x = 0; x(0) = 1 x(0) = 0 (0) = 0 (0) = 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Please do #1 part b
3
Solving second order differential equations
1. Solve the following homogenous differential equations using two methods: 1) x(t) = et substitution
and 2) Matrix eigenvalue method, 3) Using isoclines
(a) -3x-4x=0; x(0) = 1
(b) -5x+4x
=
0; x(0) 0
=
(0) = 0
(0) = 1
2. Solve the following homogenous differential equation -4x+5x=0 where x(0) = 1, (0) = 0.
3. Solve the following differential equation: +3 + 2x = t where x(0) = 1, (0) = 0. (For the particular
solution, use x(t) = At + B to substitute into the differential equation).
Transcribed Image Text:3 Solving second order differential equations 1. Solve the following homogenous differential equations using two methods: 1) x(t) = et substitution and 2) Matrix eigenvalue method, 3) Using isoclines (a) -3x-4x=0; x(0) = 1 (b) -5x+4x = 0; x(0) 0 = (0) = 0 (0) = 1 2. Solve the following homogenous differential equation -4x+5x=0 where x(0) = 1, (0) = 0. 3. Solve the following differential equation: +3 + 2x = t where x(0) = 1, (0) = 0. (For the particular solution, use x(t) = At + B to substitute into the differential equation).
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

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,