Consider the following initial value problem: y"+14y' + 74y = h(t); y(0) = 0, y'(0) = 5; 74, h(t) = >= {21 2/5 (a) Sketch the graph of the forcing function on an appropriate interval. 80 + 79 78 77- 76 75 74- 73 72 71 70 4 (b) Find the solution of the given initial value problem. NOTE: Denote the two Heaviside functions by u(t) and us(t). Indicate separately the values of c and d knowing that c is the minimum of the two values. |y(t) =
Consider the following initial value problem: y"+14y' + 74y = h(t); y(0) = 0, y'(0) = 5; 74, h(t) = >= {21 2/5 (a) Sketch the graph of the forcing function on an appropriate interval. 80 + 79 78 77- 76 75 74- 73 72 71 70 4 (b) Find the solution of the given initial value problem. NOTE: Denote the two Heaviside functions by u(t) and us(t). Indicate separately the values of c and d knowing that c is the minimum of the two values. |y(t) =
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:Consider the following initial value problem:
y" +14y + 74y=h(t); y(0) = 0, y'(0) = 5;
-{2
h(t) =
80 79 78 7 76 75 4321 70
(a) Sketch the graph of the forcing function on an appropriate interval.
80 +
77
74-
73-
74, <t<
72
71
0, 0<t< or t≥ 2
(b) Find the solution of the given initial value problem.
NOTE: Denote the two Heaviside functions by ue(t) and ua(t). Indicate separately
the values of c and d knowing that c is the minimum of the two values.
y(t) =
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