Solve the initial value problem 2yy' + 6 = y² + 6x with y(0) = 7. a. To solve this, we should use the substitution help (formulas) U = With this substitution, y = help (formulas) y' = help (formulas) Enter derivatives using prime notation (e.g., you would enter y' for dy). dx b. After the substitution from the previous part, we obtain the following linear differential equation in x, u, u'. help (equations) c. The solution to the original initial value problem is described by the following equation in x, y. help (equations)
Solve the initial value problem 2yy' + 6 = y² + 6x with y(0) = 7. a. To solve this, we should use the substitution help (formulas) U = With this substitution, y = help (formulas) y' = help (formulas) Enter derivatives using prime notation (e.g., you would enter y' for dy). dx b. After the substitution from the previous part, we obtain the following linear differential equation in x, u, u'. help (equations) c. The solution to the original initial value problem is described by the following equation in x, y. help (equations)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please show your solution on the paper.
Transcribed Image Text:Solve the initial value problem 2yy' + 6 = y² + 6x with y(0)
= 7.
a. To solve this, we should use the substitution
help (formulas)
U =
With this substitution,
y =
help (formulas)
y' =
help (formulas)
Enter derivatives using prime notation (e.g., you would enter y' for dy).
b. After the substitution from the previous part, we obtain the following linear differential equation in x, u, u'.
help (equations)
c. The solution to the original initial value problem is described by the following equation in x, y.
help (equations)
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