solution is provided by instructor for practice therefore not graded work [49] Consider y = 12t + 3y, y(0)t = 0.1, 0.2, 0.3.[49]=(a) Use Euler's method with h = 0.1.(b) Use the improved Euler's method with h = 0.1.(c) Use the Runge-Kutta method with h = 0.1.t Euler0.0 0.50000.1 0.75000.5. Find approximate values of the solution atImproved Euler0.50000000000.77750000000.2 1.05501.1277375000.3 1.4315 1.575806938Runge-Kutta0.50000000000.78045625001.1357041131.591908501

y'=1-2t+3y, y0=0.5. To Do:We have to find the approximate solution at t=0.1, 0.2, 0.3. (a) Using…

Answered: [49] Consider y'= 1-2t + 3y, y(0) 0.5.…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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[49] Consider y'= 1-2t + 3y, y(0) 0.5. Find approximate values of the solution at t = 0.1, 0.2, 0.3. (a) Use Euler's method with h = 0.1. (b) Use the improved Euler's method with h = 0.1. (c) Use the Runge-Kutta method with h = 0.1.