Consider the initial value problem for function y given by,
Consider the initial value problem for function y given by, Consider the initial value problem for...
Consider the initial value problem for function y, y" – ' - 20 y=0, y(0) = 2, 7(0) = -4. a. (4/10) Find the Laplace Transform of the solution, Y(8) = L[y(t)]. Y(8) = M b. (6/10) Find the function y solution of the initial value problem above, g(t) = M Consider the initial value problem for function y, Y" – 8y' + 25 y=0, y(0) = 5, y(0) 3. a. (4/10) Find the Laplace Transform of the solution. Y(s)...
Consider the following initial value problem. y′ + 5y = { 0 t ≤ 1 10 1 ≤ t < 6 0 6 ≤ t < ∞ y(0) = 4 (a) Find the Laplace transform of the right hand side of the above differential equation. (b) Let y(t) denote the solution to the above differential equation, and let Y((s) denote the Laplace transform of y(t). Find Y(s). (c) By taking the inverse Laplace transform of your answer to (b), the...
Consider the following initial value problem. y" + 6y' + 34y = 8( - 1T) + 6(t – 7), 7(0) = 1, y(0) = 0 Find the Laplace transform of the differential equation. (Write your answer as a function of s.) Use the Laplace transform to solve the given initial-value problem. y(t) = ])-( * sin(70) .).2(e-) + ( [ - alt- Need Help? Read it Talk to a Tutor
Find the Laplace transform Y(s) = L{y} of the solution of the given initial value problem: 1, y' + 9 = 0<t<T 0,7 <t< y(0) = 5, y'(0) = 4
(1 point) Consider the initial value problem d'y dy dt2 dt dt Write down the Laplace transform of the left-hand side of the equation given the initial conditions Your answer should be a function of s and Y with Y denoting the Laplace transform of the solution y Write down the Laplace transform of the right-hand side of the equation Your answer should be a function of s only. Next equate your last two answers and solve for Y. You...
Find the Laplace transform y(s) of the solution of the given initial value problem. Then invert to find y(t). Write uc for the Heaviside function that turns on at c. not uc(t). S1, y" + 4y = ost< 2, y(0) = 6, 7(0) = 8 lo, 2 St<00; Y(s) = y(t) =
b) The Laplace transform of the solution f (t) of an initial value problem is given by 7 5e s By taking the inverse of the Laplace transform find and the enter the function f (t) below in maple syntax
-16 points 17. Find the Laplace transform Y(s) of the solution of the given initial value problem. Then invert to find y(t). Write u for the Heaviside function that turns on at cnot u(t y"36y = e-2u y(0) 0 y'(O) = 0 Y(s) y(t) Submit Answer Save Progress Practice Another Version -16 points 17. Find the Laplace transform Y(s) of the solution of the given initial value problem. Then invert to find y(t). Write u for the Heaviside function that...
Section 6.5 Impulse Function: Problem 2 Previous ProblemProblem ListNext Problem (1 point) Use the Laplace transform to solve the following initial value problem: y" +4y-96(t-2) y(0-0, y,(0) 0 y(t)- Notation: write u(t-c) for the Heaviside step function ue(t) with step att c.) Preview My Answers Submit Answers Section 6.5 Impulse Function: Problem 2 Previous ProblemProblem ListNext Problem (1 point) Use the Laplace transform to solve the following initial value problem: y" +4y-96(t-2) y(0-0, y,(0) 0 y(t)- Notation: write u(t-c) for...
having trouble finding y(t) NOT Correct (1 point) Consider the initial value problem y"+16y 48t, y(0)3, /(0)-9. 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). (s 2Y(s)-3s-9)+16Y(s) help (formulas) 48/s 2 b. Solve your equation for Y(s). C{y(t))=48/(s 2(s2+ 16)...