Consider the intial value problem: 81y" + 72y' + 16y= 0, y(0) = a > 0,...
6. Consider the intial value problem: 494"' + 42y + 9y = 0, y(0) = a > 0, y'(0) = -1. a. Find the solution in terms of a. Give your answer as y ... . Use x as the independent variable. Answer: b. Find the critical value of a that separate solutions that become negative from those that are always positive. critical value of a =
You have answered 0 out of 2 parts correctly. Consider the intial value problem: 644" + 80y + 25y = 0, y(0) = a < 0, y(0) = 5. a. Find the solution in terms of a. Give your answer as y=... . Use x as the independent variable. Answer: _ 5x 8 8 y=cle +62xe b. Find the critical value of a that separate solutions that become positive from those that are always negative. critical value of a =
please help with entire question 7(0) = -5. Consider the initial value problem 47" + 28y' +49-0, (0) - 1, (a) Solve the initial value problem. X(t) Plot its solution for osts 5. (A computer algebra system is recommended.) (b) Determine where the solution has the value zero. (c) Determine the coordinates (to, Yo) of the minimum point. (to yo)-( (d) Change the second initial condition to y(0) -b and find the solution as a function of b. Xt) Find...
You have not submitted your answer. Solve the initial value problem: 16y" + 10y = 0, y(7/6) = -2, y' (/6) = 1. Give your answer as y=... . Use x as the independent variable. Answer: v=
Use the Laplace Transform to solve each of the following initial-value problem (b) y'(t) + 16y(t) = f(t), y(0) = 2, y'(0) = 1. where f(t) is defined by (t) = , 1, 0 <t<, 10, t>,
5. Try again < Previous You have answered 0 out of 2 parts correctly. Consider the initival value problem: y' – 0.24 +0.01y = 0, y(0) = 14, 7(0) = b. a. Find the solution in terms of b. Give your answer as y=... . Use x as the independent variable. Answer: y=belx + 146.lx b. Determine the critical value of b that separates solutions that grow positively from those that eventually grow negatively. critical value of b =
4. X Try again < Previous Next > Your answer is incorrect. Solve the intial value problem: 4y" – 12y' + 9y = 0, y(-2) = -2, y(2) = 3. Give your answer as y=... . Use t as the independent variable. 3t 2-3 Answer: 1 y= 3(1+2) +e®(31–8))
ITEMS SUMMARY < Previous Next Solve the intial value problem: 25y" – 30y' +9y = 0, y(-1) = 2, y'(1) = -4. Give your answer as y=... . Use t as the independent variable. Answer: Submit answer Answers Answer Score -13 Instructions 0/13 Type here to search
Use the Laplace Transform to solve the given initial value problem. y^(4)-81y=0; y(0)=32, y'(0)=27, y''(0)=126, y'''(0) = 135
Solve the given initial value problem. y'' + 16y=0; y(0) = 2, y'(0) = 3 y(t) =