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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e2" y
dy
The equation
dx
(а) Т
F
is a nonlinear equation.
x2 + 1
The equation y"+2y'+y = 0 can be converted to the system ri = -2x2 – x1.
x'1 = x2
(b) Т
F
(с) Т
F
If a function f(x) has continuous derivatives at xo up to any order, then it is an
analytic function at xo.
By the convolution theorem , L-1{ +1)}(t) = L="{}(t)*L-!{}(t).
s+2
(d) T
F
(s²+2)(s²+1).
s2+2
(е) Т
F
If f(t) is piecewise continuous and of exponential order a for some constant
a, then lim,→∞ L{f(t)}(s) = 0.
Transcribed Image Text:e2" y dy The equation dx (а) Т F is a nonlinear equation. x2 + 1 The equation y"+2y'+y = 0 can be converted to the system ri = -2x2 – x1. x'1 = x2 (b) Т F (с) Т F If a function f(x) has continuous derivatives at xo up to any order, then it is an analytic function at xo. By the convolution theorem , L-1{ +1)}(t) = L="{}(t)*L-!{}(t). s+2 (d) T F (s²+2)(s²+1). s2+2 (е) Т F If f(t) is piecewise continuous and of exponential order a for some constant a, then lim,→∞ L{f(t)}(s) = 0.
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