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Consider the following initial value problem: y" + 10y +34y=h(t); y(0)= 0, y'(0) = 3; h(t) { 34, << 32- 31 30- 0, 0 (a) Sketch the graph of the forcing function on an appropriate interval. 40- 39- X 38- 37 36 35- 34 33- (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) = X

Consider the following initial value problem: y" + 10y +34y=h(t); y(0)= 0, y'(0) = 3; h(t) { 34, << 32- 31 30- 0, 0 (a) Sketch the graph of the forcing function on an appropriate interval. 40- 39- X 38- 37 36 35- 34 33- (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) = X

Advanced Engineering Mathematics
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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Consider the following initial value problem: y" + 10y +34y=h(t); y(0)= 0, y'(0) = 3; h(t) where c = { (a) Sketch the graph of the forcing function on an appropriate interval. 40- 39- X 38- 37 36 35- 34 33- 32- 31 30- 34, << X 0, 0<t<ort> (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) = d= X X
Transcribed Image Text:Consider the following initial value problem: y" + 10y +34y=h(t); y(0)= 0, y'(0) = 3; h(t) where c = { (a) Sketch the graph of the forcing function on an appropriate interval. 40- 39- X 38- 37 36 35- 34 33- 32- 31 30- 34, << X 0, 0<t<ort> (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) = d= X X
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