Solve the initial value problem yy' + x = √√x² + y² with (1)=√15. a. To solve this, we should use the substitution u= u' = help (formulas) help (formulas) dy Enter derivatives using prime notation (e.g., you would enter y' for dz b. After the substitution from the previous part, we obtain the following lin differential equation in x, u, u'.
Solve the initial value problem yy' + x = √√x² + y² with (1)=√15. a. To solve this, we should use the substitution u= u' = help (formulas) help (formulas) dy Enter derivatives using prime notation (e.g., you would enter y' for dz b. After the substitution from the previous part, we obtain the following lin differential equation in x, u, u'.
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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Question
Transcribed Image Text:Solve the initial value problem yy' + x =
y(1) = √15.
a. To solve this, we should use the substitution
U =
x²
u' =
-y² with
help (formulas)
help (formulas)
dy
Enter derivatives using prime notation (e.g., you would enter y' for dz
+y
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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ONLY C PART
Transcribed Image Text:Solve the initial value problem yy' + x =
y(1)=√15.
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 :).
U =
+ y² with
=
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.
sqrt(x^2 + y^2)
help (equations)
Solution
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