Compute y' and y". The symbols C, and C, represent constants. y = C,e sin x + C,ex cos x y'(x) = y"(x) Combine these derivatives with y as a linear second-order differential equation that is free of the symbols C, and C, and has the form F(y, y', y") = 0. (Use yp for y' and YPp for y". урр — 2ур + 2у |
Compute y' and y". The symbols C, and C, represent constants. y = C,e sin x + C,ex cos x y'(x) = y"(x) Combine these derivatives with y as a linear second-order differential equation that is free of the symbols C, and C, and has the form F(y, y', y") = 0. (Use yp for y' and YPp for y". урр — 2ур + 2у |
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:Compute y' and y". The symbols C, and C, represent constants.
y = C,e sin x + C,ex cos x
y'(x) =
y"(x)
Combine these derivatives with y as a linear second-order differential equation that is free of the symbols C, and C, and has the form F(y, y', y") = 0. (Use yp for y' and YPp for y".
урр — 2ур + 2у
|
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