Show that the given function is a solution of the differential equation. d²y dy dx dx² dx d²y dx² Substituting checks. d²y dy dx²¹ 8x -7x - 56y= 0, y = c₁e³x + c₂е¯ and y into the original equation gives - 56(c₁e³x + c₂e-7x) = 0. The solution

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

Show that the given function is a solution of the differential equation:

*** Please see attachment

Show that the given function is a solution of the differential equation.
d²y dy
dx
dx²
dx
d²y
dx²
Substituting
checks.
d²y dy
dx²¹
8x
-7x
- 56y= 0, y = c₁e³x + c₂е¯
and y into the original equation gives
- 56(c₁e³x + c₂e-7x) = 0. The solution
Transcribed Image Text:Show that the given function is a solution of the differential equation. d²y dy dx dx² dx d²y dx² Substituting checks. d²y dy dx²¹ 8x -7x - 56y= 0, y = c₁e³x + c₂е¯ and y into the original equation gives - 56(c₁e³x + c₂e-7x) = 0. The solution
Expert Solution
steps

Step by step

Solved in 2 steps with 1 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,