Solve the given initial-value problem. d2y dθ2 + y = 0, y(π/3) = 0, y'(π/3) = 6
Solve the given initial-value problem. d2y dθ2 + y = 0, y(π/3) = 0, y'(π/3) =...
d2y dy +10 dt +25y 0, y(1) 0, y'(1) 1 (1 point) Solve the initial-value problem dt2 Answer: y(t)
Solve the initial value problem. dy/dx = 6sin(3x)(y + 3); y(π/6) = 3
Solve the given initial value problem. y" +10y' +25y = 0; y(0) = 3, y0) = -10
Solve the given initial value problem. y'' + 16y=0; y(0) = 2, y'(0) = 3 y(t) =
solve the given initial-value problem For Problems 37-40, solve the given initial-value problem. 38. y" = cos x, y(0) = 2, y'(0) = 1. 40. y” = xe", y(0) = 3, y'(0) = 4.
Solve the given initial value problem. Thank you! Solve the given initial value problem. y''' + 12y'' +44y' +48y = 0 y(O)= -7, y'(0) = 18, y''(0) = - 76 y(x) =
Solve the given initial value problem. y'' + 4y' = 0; y(0) = 6, y'(0) = - 16 The solution is y(t) = _______
(1 point) Consider the initial value problem d2y dy 8 +41y8 cos(2t), dt dy (0) y(0) = -2 -6 dt dt2 Write down the Laplace transform of the left-hand side of the equation given the initial conditions (sA2-8s+41)Y+2s-18 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 (-8s+32)/(sA2-8s+20) Your answer should be a function of s only...
Problem 3. Given the initial conditions, y(0) from t- 0 to 4: and y (0 0, solve the following initial-value problem d2 dt Obtain your solution with (a) Euler's method and (b) the fourth-order RK method. In both cases, use a step size of 0.1. Plot both solutions on the same graph along with the exact solution y- cos(3t). Note: show the hand calculations for t-0.1 and 0.2, for remaining work use the MATLAB files provided in the lectures Problem...
Solve the given initial value problem. y'' - y'' – 36y' + 36y = 0 y(0) = -5, y'(0) = 49, y''(0) = - 215 y(x) =