10:53 homework7 11 Homework7: Problem 11 Previous Problem List Next (1 point) Consider the function if0<t<2...
piny 1520 7e ECW-3: Problem 16 Previous Problem List Next (1 point) The graph of f(t) is given below a. Represent f) using a combination of Heaviside step functions. Use ht - a) for the Heaviside function shifted a units horizontally f(t) = help (formulas) . Find the Laplace transform F(8) = C{f(0)} for 8 +0. F(s) = C {f(t)} = help (formulas) Note: You can earn partial credit on this problem
Laplace Transform: Problem 6 Previous Problem Problem List Next Problem (1 point) Find the inverse Laplace transform f(t) = --!{F(s)} of the function F(s) = 4e-25 52 + 16 f(t) = 2-1 | 4e-28 IS2 + 16 S help (formulas) Note: Use u(t) for the Heaviside function. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining.
Homework7: Problem 24 Problem List Next Problem Previous Problem (1 point) Consider the initial value problem my" +cy'+ky F(t) , (0 ) 0, y y'(0)-0 modeling the motion of a spring-mass-dashpot system initially at rest and subjected to an applied force F(t), where the unit of force is the Newton (N). Assume that m 2 klograms, c8 kilograms per second, k 80 Newtons per meter, and the applied force in Newtons is ifosts/2 30 F(0) if t> /2. 0 remain...
HW07: Problem 11 Previous Problem Problem List Next Problem (1 point) Find the Laplace transform F(s) of the periodic function f (t) = below. 0st.with f(t + 2) = f( 2. What is the minimal period T for the function f(t): T- F(s) =-(1-e-Ts) 1/θ
HW07: Problem 11 Previous Problem Problem List Next Problem (1 point) Find the Laplace transform F(s) of the periodic function f (t) = below. 0st.with f(t + 2) = f( 2. What is the minimal...
Answer all the problems please.
(1 point) The graph of f(t) is given below (Click on graph to enlarge) a. Represent f(t) using a combination of Heaviside step functions. Use h(t - a) for the Heaviside function shifted a units horizontally f(t) = help (formulas) b. Find the Laplace transform F(s) = L {f(t)) for s 0. F(s) = L {f(t)) = help (formulas) (1 point) Find the inverse Laplace transform of 7s F(s) = s2-15-12 f(t)-H(t-7)*(1/7% . (Use step(t-c)...
Previous ProblemP Problem List Next Problem 48 +8 s2 +1 (1 point) Find the inverse Laplace transform f(t) = L 1 8)) of the function F(s) = help (formulas) s2 +1 Preview My Answers Submit Answers (1 point)Findthe inverse Laplacetransformf(t) =L 1(F(s)) ofthe function F(s) = 821881 1 18s help (formulas) 82 -81
Homework 16: Problem 3 Previous Problem Problem List Next Problem (1 point) Consider the initial value problem y" + 16y = 64t, y(0) = 9, y'(0) = 6. a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). help (formulas) b. Solve...
HW6: Problem 9 Previous Problem Problem List Next Problem (1 point) Find the Laplace transform of f(t) = 2te2sin(t) F(8) HW6: Problem 10 Previous Problem Problem List Next Problem (1 point) Find the Laplace transform of f(t) = t cos(3t) F(3)
22 Laplace poly shift: Problem 1 Previous Problem Problem List Next Problem (1 point) Consider the initial value problem 16y cos(4t), y(0)-3, (0) -5 a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below) help (formulas) b. Solve your equation for Y...
HW16: Problem 9 Previous Problem Problem List Next Problem (1 point) Consider the initial value problem o ifost <3 y + 5y = 10 if 3 st<5 3(0) = 4. lo if 5 <t< oo, (a) Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y by Y. Do not move any terms from one side of the equation to the other (until you get to...