Solve the equation y' = x/r? + 1/(ye") and graph sev- eral members of the family of solutions (if your CAS does implicit plots). How does the solution curve change as the constant C varies?
Solve the equation y' = x/r? + 1/(ye") and graph sev- eral members of the family of solutions (if your CAS does implicit plots). How does the solution curve change as the constant C varies?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section: Chapter Questions
Problem 26MCQ
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Question
Expert Solution
Step 1
the given differential equation is:
we have to graph the several members of the family of solutions.
then we have to determine how does the solution curve change as the constant C varies.
the given differential equation can be written as:
Step 2
now integrate the both sides of the equation (1),
let the integral be
therefore,
integrate the integral by using the integration by parts.
therefore,
Step 3
now let the integral be
therefore,
let
therefore,
now substitute these values in the integral
Step 4
therefore,
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