ITEMS SUMMARY < Previous Next Solve the intial value problem: 25y" – 30y' +9y = 0,...
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))
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 =
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 =
Solve y'' +9y = $(t – 6), y(0) = y'(0) = 0 g(t) = for t < 6 for t > 6
QUESTION 3 Use Laplace Transform to solve the initial value problem y" + 9y = f(t) ,y(0) = 1, y'(0) = 3 where 6, f(t) 0 <t<nt i < t < 0
(1 point) Consider the following initial value problem: y" +9y (st, o<t<8 y(0) = 0, '(0) = 0 132, ?> 8 Using Y for the Laplace transform of y(t), i.e., Y = C{y(t)} find the equation you get by taking the Laplace transform of the differential equation and solve for Y(8)
ITEMS SUMMARY 5 . Practice similar problem < Previous You have 3 attempts remaining. A wheel 1.09 m in diameter rotates with an angular acceleration of 3.65 rad/s. If the wheels initial angular velocity is 2.92 rad/s: Help on how to format answers: units (a) What is its angular velocity after 8.41 s? wy= (b) Through what angle does it rotate in the 8.41 s interval? A = (c) What is the tangential speed on the rim of the wheel...
Question 7 < > Solve the initial-value problem using the Method of Undeterminded Coefficients: y' + 4y = 10 cos(2t) y(0) = 1 y'(0) = 1 g(t) = Submit Question
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...
(1 point) Consider the following initial value problem: 4t, 0<t<8 \0, y" 9y y(0)= 0, y/(0) 0 t> 8 Using Y for the Laplace transform of y(t), i.e., Y = L{y(t)} find the equation you get by taking the Laplace transform of the differential equation and solve for Y(s)