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
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...
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