(1 point) Solve the initial value problem 13(t+1) 94 – 9y = 36t, fort > -1...
(1 point) Find the general solution, y(t), which solves the problem below, by the method of integrating factors. 6t+y=t", t> 0 dt Put the problem in standard form. Then find the integrating factor, y(t) = and finally find y(t) = (use C as the unkown constant.)
(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)
Not sure how to apply integrating factor! Thank you in advance! Use the integrating factor method to find y solution of the initial value problem y' = - y + 5t, t > 0. y(0) = -3 (a) Find an integrating factor µ. If you leave an arbitrary constant, denote it as c. u(t) : Σ ce^t (b) Find all solutions y of the differential equation above. Again denote by c any arbitrary integration constant. y(t) Σ (c) Find the...
(1 point) Solve the initial value problem 10 10(+ 1) My – by = 241, 24t. for t> -1 with y(0) = 3. y=
Solve y'' +9y = $(t – 6), y(0) = y'(0) = 0 g(t) = for t < 6 for t > 6
(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)
Problem 1. For the circuit below, given a value foris 2.5Au(-t) solve for R1 so that the initial capacitor voltage v(0) İs-10V Ri 20 mH 5Ω Problem 2. Circle one: The type of response for v() for t>0 would be classified as Over Damped Critically Damped Under Damped Problem 3. What is the form of the solution for v() for t>0 (form of solution Table 9.1)? Problem 4. What is the initial inductor current iL(0) in Amperes? iL(0)- Problem 5....
(1 point) Find the general solution, y(t), which solves the problem below, by the method of integrating factors. 8t4y+y=+", t>O Put the problem in standard form. Then find the integrating factor, u(t) = and finally find y(t) = 1/80 . (use C as the unkown constant.)
Problem 6. (10 pts) Write down the following in the form of x(t) = A cos(2t + o), where A> 0 x(t) = sin(2t + 7) + cos2t
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