25. y'= 3.2y 10y²

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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22-28 NONLINEAR ODES
Using a method of this section or separating variables, find
the general solution. If an initial condition is given, find
also the particular solution and sketch or graph it.
25. y' = 3.2y 10y²
-
PROBLEM SET 1.3
1. CAUTION! Constant of integration. Why is it
important to introduce the constant of integration
immediately when you integrate?
2-10 GENERAL SOLUTION
Find a general solution. Show the steps of derivation. Check
your answer by substitution.
9. xy = y² + y (Set y/x = u)
11-17 INITIAL VALUE PROBLEMS (IVPS)
Solve the IVP. Show the steps of derivation, beginning with
the general solution.
12. y' = 1 + 4y², y(1) = 0.
Transcribed Image Text:22-28 NONLINEAR ODES Using a method of this section or separating variables, find the general solution. If an initial condition is given, find also the particular solution and sketch or graph it. 25. y' = 3.2y 10y² - PROBLEM SET 1.3 1. CAUTION! Constant of integration. Why is it important to introduce the constant of integration immediately when you integrate? 2-10 GENERAL SOLUTION Find a general solution. Show the steps of derivation. Check your answer by substitution. 9. xy = y² + y (Set y/x = u) 11-17 INITIAL VALUE PROBLEMS (IVPS) Solve the IVP. Show the steps of derivation, beginning with the general solution. 12. y' = 1 + 4y², y(1) = 0.
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