find y(t) solution of the initial value problem y’’-10y’+21y=2u(t-3), y(0)=0,y’(0)=0 here u(t) denotes the step function
Find the solution of the initial value problem y′′+7y′+10y=0, y(0)=11 and y′(0)=−46.
Consider the initial value problem 3u" - u'+ 2u = 0, u(0) = 5, u'(0) = 0. (a) Find the solution u(t) of this problem. u(t) = _______ (b) For t > 0, find the first time at which |u(t)|=10. (A computer algebra system is recommended. Round your answer to four decimat places.)t = _______
-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...
1.Find a general solution to the given differential equation. 21y'' + 8y' - 5y = 0 A general solution is y(t) = _______ .2.Solve the given initial value problem. y'' + 3y' = 0; y(0) = 12, y'(0)= - 27 The solution is y(t) = _______ 3.Find three linearly independent solutions of the given third-order differential equation and write a general solution as an arbitrary linear combination of them z"'+z"-21z'-45z = 0 A general solution is z(t) = _______
thank you!! Solve the given initial value problem. y'' - 10y' + 25y = 0; y(0) = -3, y'(0) = 57 4 The solution is y(t) =
Find the solution y of the initial value problem 3"(t) = 2 (3(t). y(1) = 0, y' (1) = 1. +3 g(t) = M Solve the initial value problem g(t) g” (t) + 50g (+)? = 0, y(0) = 1, y'(0) = 7. g(t) = Σ Use the reduction order method to find a second solution ya to the differential equation ty" + 12ty' +28 y = 0. knowing that the function yı(t) = + 4 is solution to that...
Consider the initial value problem for function y given by, Consider the initial value problem for function y given by, (a) Find the Laplace Transform of the source function, F(s) = L[-3 F(s) = (b) Find the Laplace Transform of the solution, Y(s) Lt) Y(s) - (c) Find the solution y(t) of the initial value problem above. s(t) Recall: If needed, the step function at c is denoted as u(t - c) -1] Help Entering Answers Preview My Anawers Submit...
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)...
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below y"-7y' +10y=te2 y(0)= 3. y'(0)-3 Click here to view the table of Laplace transforms Click here to view the table of properties of Laplace transforms Y6)-
Solve the initial value problem by using La Place: y 2 y-2u(t - 2n) y(0) 0, y(0)= el-2T