Show that ¢(x) = Ce³* + 1 is a solution to dy/dx – 3y = -3 for any choice of the constant C. Thus, Cex + 1 is a one-parameter family of solutions to the differential equation. Graph several of the solution curves using the same coordinate axes.
Show that ¢(x) = Ce³* + 1 is a solution to dy/dx – 3y = -3 for any choice of the constant C. Thus, Cex + 1 is a one-parameter family of solutions to the differential equation. Graph several of the solution curves using the same coordinate axes.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
Related questions
Question
![Show that ¢(x) = Ce³* + 1
is a
solution
to
dy/dx
– 3y = -3 for any choice of the constant C.
Thus, Cex + 1 is a one-parameter family of solutions to
the differential equation. Graph several of the solution
curves using the same coordinate axes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff57c5c9b-acb3-4a3d-a39b-55eeff7ee4ad%2F037ef359-5d6d-4aff-8968-61080602284f%2Fyja113j_processed.png&w=3840&q=75)
Transcribed Image Text:Show that ¢(x) = Ce³* + 1
is a
solution
to
dy/dx
– 3y = -3 for any choice of the constant C.
Thus, Cex + 1 is a one-parameter family of solutions to
the differential equation. Graph several of the solution
curves using the same coordinate axes.
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