It is easy to check that for any value of c, the function y = ce-2 + e-2 is a solution of the equation y' + 2y = e=². %3D Find the value of c for which the solution satisfies the initial condition y(2) = 6. c = Preview

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
icon
Related questions
Question
100%
It is easy to check that for any value of c, the function
y = ce-2 + e-2
is a solution of the equation
y' + 2y = e-.
Find the value of c for which the solution satisfies the initial condition y(2) = 6.
c =
Preview
Transcribed Image Text:It is easy to check that for any value of c, the function y = ce-2 + e-2 is a solution of the equation y' + 2y = e-. Find the value of c for which the solution satisfies the initial condition y(2) = 6. c = Preview
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell