Solve the initial-value problem
Answer:
Solve the initial-value problem d2ydt2+10dydt+25y=0,y(1)=0,y′(1)=1. Answer: y(t)=
d2y dy +10 dt +25y 0, y(1) 0, y'(1) 1 (1 point) Solve the initial-value problem dt2 Answer: y(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) =
Solve the given initial value problem. y" +10y' +25y = 0; y(0) = 3, y0) = -10
Solve 2y'' – 5y' – 25y = 0, y(0) = -6, y'(0) = – 15 (t) = Consider the initial value problem y' + 3y' – 10y = 0, y(0) = a, y'(0) = 3 Find the value of a so that the solution to the initial value problem approaches zero as t + oo a = 1
7.5.10 Solve the initial value problem below using the method of Laplace transforms. y" - 25y = 100t - 10 e -5t, y(0) = 0, y'(0) = 47 Click here to view the table of Laplace transforms. y(t) = (Type an exact answer in terms of e.) Enter your answer in the answer box and then click Check Answer All parts showing Clear All
(1 point) Solve the boundary-value problem y" – 10y' + 25y = 0, y(0) = 7, y(1) = 0. Answer: y(x) = Note: If there is no solution, type "None".
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" - 25y = g(t), y(0) = 1, y'(0) = 4, where g(t)= [ t, t>2 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Y(s) (Type an exact answer in terms of e.)
3) Solve the following initial value problem. ( 1; 0 <t y" + y = f(t), y(0) = 2, y'(0) = -1, where f(t) = } nere -1; En VI t
Solve the initial value problem y" + 3y' + 2y = 8(t – 3), y(0) = 2, y'(0) = -2. Answer: y = u3(t) e-(-3) - u3(t)e-2(1-3) + 2e-, y(t) ={ 2e-, t<3, -e-24+6 +2e-l, t>3. 5. [18pt] b) Solve the initial value problem y' (t) = cost + Laplace transforms. +5° 867). cos (t – 7)ds, y(0) – 1 by means of Answer:
Problem 2. (a) Solve the initial value problem I y' + 2y = g(t), 1 y(0) = 0, where where | 1 if t < 1, g(t) = { 10 if t > 1 (t) = { for all t. Is this solution unique for all time? Is it unique for any time? Does this contradict the existence and uniqueness theorem? Explain. (b) If the initial condition y(0) = 0 were replaced with y(1) = 0, would there necessarily be...