.2 Solve the initial value problem 2yy' + 3 = y² + 3x with y(0) = 8. To solve this, we should use the substitution u = yhelp (formulas) With this substitution, √u help (formulas) У = y' = help (formulas) Enter derivatives using prime notation (e.g., you would enter y' for dy). After the substitution from the previous part, 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) Book: Section 1.5 of Notes on Diffy Qs

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...
icon
Related questions
Question
.2
Solve the initial value problem 2yy' + 3 = y² + 3x with
y(0) = 8.
To solve this, we should use the substitution
u = yhelp (formulas)
With this substitution,
√u help (formulas)
У
=
y'
=
help (formulas)
Enter derivatives using prime notation (e.g., you would enter y'
for dy).
After the substitution from the previous part, 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)
Book: Section 1.5 of Notes on Diffy Qs
Transcribed Image Text:.2 Solve the initial value problem 2yy' + 3 = y² + 3x with y(0) = 8. To solve this, we should use the substitution u = yhelp (formulas) With this substitution, √u help (formulas) У = y' = help (formulas) Enter derivatives using prime notation (e.g., you would enter y' for dy). After the substitution from the previous part, 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) Book: Section 1.5 of Notes on Diffy Qs
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning