Problem #12: The inverse Laplace transform f( = £"{F(s)} of the function ei(-3s +8) F(s) s249...
Problem #4: Find the inverse Laplace transform of the following expression 10s 3 2-251 Enter your answer as a symbolic function of t, as in these examples Problem #4 Submit Problem #4 for Grading Just Save Attempt #4 Attempt #5 Attempt #3 Problem #4 Attempt #2 Attempt #1 Your Answer: Your Mark:
Problem #16; Use the Laplace transform to solve the following initial value problem y2y35 t-4), y(0) = 0. y'(0) 0 The solution is of the form Ug(t] h(t). (a) Enter the function g(f) into the answer box below. (b) Enter the function h(t) into the answer box below Enter your answer as a symbolic function of t. as in these Problem #16(a): examples Enter your answer as a symbolic function of t. as in these examples Problem 16(b): Submit Problem...
Determine the inverse Laplace transform of the function below - 3s se S +63 +25 Click here to view the table of Laplace transforms Click here to view the table of properties of Laplace transforms -34-3) cos (441–3)- se - 3s 3 -> (t) = u(-3) 3(1-3) sin 4(t-3) S +65 +25 (Use parentheses to clearly denote the argument of each function.) Enter your answer in the answer box < Previous O i
7e 3s Find the inverse Laplace transform of F(s) $2 + 49 f(t) = Note: Use (u(t-a)) for the unit step function shifted a units to the right.
Problem #6: Consider the following integral equation, so called integral because the unknown dependent variable y appears within an This equation is defined for t0 (a) Use convolution and Laplace transforms to find the Laplace transform of the solution (b) Obtain the solution y(t) Enter your answer as a symbolic function of s, as in these examples Problem #6(a): Enter your answer as a symbolic function of t, as in these examples Problem #6(b): Just Save Submit Problem #6 for...
Problem #8: Consider the following integral equation, so called because the unknown dependent variable y appears within an integral sin[4(t- w) y(w) dw = 82 This equation is defined for t z 0. (a) Use convolution and Laplace transforms to find the Laplace transform of the solution (b) Obtain the solution y(t) Enter your answer as a symbolic function of s, as in these examples Problem #8(a) Enter your answer as a symbolic function of t, as in these examples...
Problem #6: Find the Laplace transform of the following functions 4 0<t 3 9 tz3 (a) f(t) (b) f(t) 9>10 7 0 t2 6 0 t</9 cos[10(/9) tz n/9 f(f = symbolic Enter your answer as a function of s, as in these examples Problem #6(a): symbolic Enter your answer as a function of s, as in these examples Problem #6(b): Enter your answer as a symbolic function of s, as in these examples Problem #6(c): Problem #6: Find the...
Determine the inverse Laplace transform of the function. 3s-72/5s^2-40s+160 Determine the inverse Laplace transform of the function below. 3s - 72 5s2 - 40s + 160 Click here to view the table of Laplace transforms Click here to view the table of properties of Laplace transforms. -1 35 - 72 15s2 - 40s + 160
Problem #7; Consider the functions f(t = e' and g(f) = e 3 defined on 0 t < co. (a) (f*g)(t) can be calculated as h(w, tdw Enter the function h(w, t into the answer box below Hs)}. Enter the function H(s) into the answer box below (b) (f* g)(t) can also be calculated as L (c) Evaluate (f* g)(t) Enter your answer as a symbolic function of w,t, as in these examples Problem #7(a): Enter your answer as a...
Problem #2: Let y(t) be the solution to the following initial value problem 6, y'(0)3 y"7y Find Y(s), the Laplace transform ofy() Enter your answer as a symbolic function of s, as in these examples Problem #2: Submit Problem #2 for Grading Just Save Attempt #3 Problem #2 Attempt # 2 Attempt #5 Attempt#1 Attempt #4 Your Answer: Your Mark