Problem 3. Solve the following problems: (a) y+ ty -y-0, y(0)-0, (0) 1. (b) ty"+(1 -2t)-2y0, y(0)...
7. Use the method of Laplace transform to solve ty" +2(2t - 1)y' +4(t – 1)y = 0 with y(0) = a y'(0) = b
5. Solve the following initial value problems: (a) y' – 3t2y4 = 0, y(2) = -1 (b) y' + te2y = c29 tant, y(0) = 0) (c) et*y + (t + ty?) = 0), y(0) = 1
(1 point) Solve the initial value problem ty" - ty' y = 5, y(0) = 5, y'(0) = -1 y =
Solve the given 2nd Order DE (t-1)y'' - ty' + y = (t-1)e^2t, y1 = t
Consider the following initial value problem y = -5y + 5++ 2t, Ostsi, y(0) = 1/3, with h = 0.1. The exact solution of this problem is y(t) = {2 + e-5t. (2) If you use 2-step Adams-Moulton method (AM2) to solve this problem, what is the specific formula expressing Yi+1 in terms of Yi, Yi-1, të+1, ti, and ti-1 for solving this problem? (3) Use 2-step Adams-Moulton method (AM2) to solve this problem and plot the results to compare...
Problem 7.4. Solve the following IVP's. 2t 10 e 8.e a) 7.y10e Yo = 4 b) y"- 2.8. y 6.e, -2, yo -1 8 y 6. e4t. yo c) y"-5.4y 3 sin(t)5. cos (t), yo= 0, y= (d) y"y yo = 4, y = - Yo 0, y = 4 7
Solve the following initial value problem using ode45 and ode15s: y",(t) _ Зу"(t) + ty(t) _ sin2(t)-7, o s t Plot the solution for varying tolerances. Why do you believe your solution is cor- 2. 1, y(0)-0, y,(0) 1, y"(0)-0. rect? Solve the following initial value problem using ode45 and ode15s: y",(t) _ Зу"(t) + ty(t) _ sin2(t)-7, o s t Plot the solution for varying tolerances. Why do you believe your solution is cor- 2. 1, y(0)-0, y,(0) 1,...
Solve initial value problem using Laplace transform Problem 4 Solve the initial value problems given below --ез, y(0) 2. a. b. f ty 3 cos t, y(0)-
Problem 3. Solve the following systems of ODE's. ) -2 and 2(0)- 0. subject to the conditions y(0)-3, y'(0 subject to the conditions a(0) y(0) (0)0 subject to the conditions: (C-I): 2(0) y(0) (0-0 and 2 (C-II): y(0)- 2(0 0, y/(T) 0 WARNING: You need to solve 2 problems here. One considering condition C-I and the other considering condition C-II Problem 3. Solve the following systems of ODE's. ) -2 and 2(0)- 0. subject to the conditions y(0)-3, y'(0 subject...
Complete the solution to the following Arc Length problem. 2 = 2t, y= 2t, 0 <t <3 We have dy da dt 4t, 6+2 dt then L " V16° + 36*d! = 5" Vatº (4+ Bx)dt NOTE: Use the equation editor 3 to input your solution. You NEED to show th