Consider the initial value problem (a) Let y=ez The characteristic equation is y"-10y' + 25y = 0, y(0) = 1, y'(0) = 0 12+ Number A+ Number = 0. (b) The roots of the characteristic equation are A= Separate values with a comma. Use capital I for √-1 (c) A general solution is y= 臣固 You must use capitial A and capital B as your constants of integration. Use real-valued functions. (d) The solution of the initial value problem is y=

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the initial value problem
(a) Let y=ex The characteristic equation is
y" - 10y' + 25y = 0, y(0) = 1, '(0) = 0
12+ Number
A+ Number
= 0.
(b) The roots of the characteristic equation are
Separate values with a comma. Use capital I for I
(c) A general solution is
y=
You must use capitial A and capital B as your constants of integration. Use real-valued functions.
(d) The solution of the initial value problem is
y=
Transcribed Image Text:Consider the initial value problem (a) Let y=ex The characteristic equation is y" - 10y' + 25y = 0, y(0) = 1, '(0) = 0 12+ Number A+ Number = 0. (b) The roots of the characteristic equation are Separate values with a comma. Use capital I for I (c) A general solution is y= You must use capitial A and capital B as your constants of integration. Use real-valued functions. (d) The solution of the initial value problem is y=
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