Solve the initial value problem 2yy + 5 = y + 5x with y(0) = 6. To solve this, we should use the substitution u = y^2 help (formulas) With this substitution, y = sqrtu help (formulas) y : 2ydy help (formulas) Enter derivatives using prime notation (e.g., you would enter y for ). 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. у^2--5х+36е6х help (equations)
Solve the initial value problem 2yy + 5 = y + 5x with y(0) = 6. To solve this, we should use the substitution u = y^2 help (formulas) With this substitution, y = sqrtu help (formulas) y : 2ydy help (formulas) Enter derivatives using prime notation (e.g., you would enter y for ). 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. у^2--5х+36е6х 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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
Transcribed Image Text:Solve the initial value problem 2yy + 5 = y + 5x with y(0) = 6.
To solve this, we should use the substitution
u = y^2
help (formulas)
With this substitution,
y = sqrtu
help (formulas)
y :
2ydy
help (formulas)
Enter derivatives using prime notation (e.g., you would enter y for ).
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.
у^2--5х+36е6х
help (equations)
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