Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
(b) Find the solution for cos(x)- (1+x²) – 2xy = z with the conditions d²y dx2 1+x2 y(1) = -1, y(2) = 2 and h = 0.25 by using finite-difference method.

(b) Find the solution for cos(x)- (1+x²) – 2xy = z with the conditions d²y dx2 1+x2 y(1) = -1, y(2) = 2 and h = 0.25 by using finite-difference method.

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
(b) Find the solution for cos(x)- (1+ x²) – 2xy = with the conditions dy dx2 1+x2 y(1) = -1, y(2) = 2 and h = 0.25 by using finite-difference method.
Transcribed Image Text:(b) Find the solution for cos(x)- (1+ x²) – 2xy = with the conditions dy dx2 1+x2 y(1) = -1, y(2) = 2 and h = 0.25 by using finite-difference method.
(a) A polluted pool has an initial concentration of bacteria of 104 part/m³, while the acceptable level is only 5 x 103 part/m³. The concentration of the bacteria will reduce as fresh water enter the pool. The differential equation that governs the concentration C of the pollutant as a function of time (in weeks) is given by: dC + 0.05C = 0, dt C(0) = 104
Transcribed Image Text:(a) A polluted pool has an initial concentration of bacteria of 104 part/m³, while the acceptable level is only 5 x 103 part/m³. The concentration of the bacteria will reduce as fresh water enter the pool. The differential equation that governs the concentration C of the pollutant as a function of time (in weeks) is given by: dC + 0.05C = 0, dt C(0) = 104
Expert Solution
steps

Step by step

Solved in 3 steps with 3 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