Solve the initial value problem yy' + x = √x² + y² with y(4) = −√20. To solve this, we should use the substitution u = u' = help (formulas) help (formulas) Enter derivatives using prime notation (e.g., you would enter y' for dy) After the substitution above, we obtain the following linear differential equation in x, u, u'. ☐ help (equations) The solution to the original initial value problem is described by the following equation in x, y. help (equations)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
Question
Solve the initial value problem yy' + x = √x² + y² with
y(4) = −√20.
To solve this, we should use the substitution
u =
u'
=
help (formulas)
help (formulas)
Enter derivatives using prime notation (e.g., you would enter y'
for dy)
After the substitution above, we obtain the following linear
differential equation in x, u, u'.
☐ help (equations)
The solution to the original initial value problem is described by
the following equation in x, y.
help (equations)
Transcribed Image Text:Solve the initial value problem yy' + x = √x² + y² with y(4) = −√20. To solve this, we should use the substitution u = u' = help (formulas) help (formulas) Enter derivatives using prime notation (e.g., you would enter y' for dy) After the substitution above, we obtain the following linear differential equation in x, u, u'. ☐ help (equations) The solution to the original initial value problem is described by the following equation in x, y. help (equations)
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