Problem #10: A model for a certain population P() is given by the initial value problem...
Problem #6: A model for a certain population P(1) is given by the initial value problem dP-H10-3-10-13 P), dt P(0)= 100000000, where t is measured in months (a) What is the limiting value of the population'? (b) At what time (i.e., after how many months) will the populaton be equal to one half of the limiting value in (a)? Do not round any numbers for this part. You work should be all symbolic.) Problem #6(a): 10000000000 Enter your answer symbolically,...
Problem #7: Suppose that a population P(t) follows the following Gompertz differential equation. dP = 6P(17-InP), di with initial condition P(O) 80. (a) What is the limiting value of the population'? (b) What is the value of the population when 62 Enter your answer symbolically as in these examples exp(17) Problem #7(a): e17 Enter your answer symbolically, as in these examples exp(((17-exp(-36))*(17-ln(80))) Problem #7(b): e(17-e-36)(17-in(80)) Problem #7: Suppose that a population P(t) follows the following Gompertz differential equation. dP =...
Problem 8 [15 points: A model for the population P(t) in a suburb of a city (in thousands) is given by the initial-value problem dP dt = P(10-P), P(0)-5, where t is measured in months (a) Solve this IVP for P(t)7. (b) What is the limiting value of the population [3] -half of this limiting value pr
Problem #8: Solve the following initial value problem. y'" – 7y" - 5y' + 75y = 0, y(0) = 0, y'0) = 0, y"(0) = 8 -1/2*e^(-3*x) + 1/2*e^(5*x) Enter your answer as a symbolic function of x, as in these examples Problem #8: Do not include 'y = 'in your answer. -1e-3x + žex Just Save Your work has been saved! (Back to Admin Page) Submit Problem #8 for Grading Attempt #2 Attempt #3 Attempt #4 Attempt #5 Problem...
Problem #7: Solve the following boundary value problem. y" - 12y + 36y 0, y) = 9, y(1) = 10 Problem #7: Enter your answer as a symbolic function of x, as in these examples Do not include 'y = 'in your answer. Just Save Submit Problem #7 for Grading Attempt #1 Attempt #2 Attempt #3 Attempt #4 Attempt #5 Problem #7 Your Answer: Your Mark: Problem #8: Solve the following initial value problem. y'"' – 9y" + 24y' –...
Problem #2: Let y(x) be the solution to the following initial value problem. x4 y' + 5x> y = Inça), x>0, y(1) = 5. Find y(e). Problem #2: O Problem #2: Enter your answer symbolically, as in these examples Just Save Submit Problem #2 for Grading Problem #2 | Attempt #1 | Attempt #2 | Attempt #3 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...
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
Problem #2: Evaluate the following, 1000 f(x2 + 8) dx, and write your answer in the form g(x) e-10x + C. Enter the function g(x) into the answer box below. Enter your answer as a -100*(x^2)-20*x+790 symbolic function of X, as in these examples -100x2 – 20x + 790 Problem #2: Just Save Submit Problem #2 for Grading Attempt #3 Attempt #4 Attempt #5 Problem #2 Attempt #1 Attempt #2 Your Answer: -(100x² + 20x + 810) -100.x2 - 20x...
Problem #10: Suppose that the position vector of a particle is given by r(t) = 6ti + (2+2 +9)j + 8k. (a) Find the unit tangent vector T(!). (b) Find a simplified expression for the curvature x(t). Problem #10(a): Enter your answer as a symbolic function of t, as in these examples Enter the components of T, separated with a comma. Problem #10(): Enter your answer as a symbolic function of t, as in these examples Just Save Your work...