Solve the initial value problem y' = (x + y – 1)² with y(0) = 0. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Solve the initial value problem y' = (x + y – 1)² with y(0) = 0.
%3D
Transcribed Image Text:Solve the initial value problem y' = (x + y – 1)² with y(0) = 0. %3D
a. To solve this, we should use the substitution
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u' =
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Enter derivatives using prime notation (e.g., you would enter y' for 2).
b. After the substitution from the previous part, we obtain the following differential equation in r, u, u'.
help (equations)
c. The solution to the original initial value problem is described by the following equation in 2, y.
help (equations)
Transcribed Image Text:a. To solve this, we should use the substitution help (formulas) u' = help (formulas) Enter derivatives using prime notation (e.g., you would enter y' for 2). b. After the substitution from the previous part, we obtain the following differential equation in r, u, u'. help (equations) c. The solution to the original initial value problem is described by the following equation in 2, y. help (equations)
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