Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Solve the initial value problem yy'+¤ = /x² + y² with y(2) = v21.
a. To solve this, we should use the substitution
help (formulas)
U =
u' =
help (formulas)
Enter derivatives using prime notation (e.g.. you would enter y' for ).
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 r, y.
help (equations)
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Transcribed Image Text:ITEMS INFO Solve the initial value problem yy'+¤ = /x² + y² with y(2) = v21. a. To solve this, we should use the substitution help (formulas) U = u' = help (formulas) Enter derivatives using prime notation (e.g.. you would enter y' for ). 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 r, y. help (equations) Submit answer Answers (in progress) Answor
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Step 1

given equation is

                                                        yy'+x=x2+y2

at     x=2, y=21

Let

                                                   u=x2+y2u2=x2+y2

differentiating with respect to x

                                              u2=x2+y22uu'=2x+2yy'uu'=x+yy'u'=x+yy'uu'=x+yy'x2+y2

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