2. Consider the initial value problemtx' + x = 3t²,groisto p'aplx(1) = -2.(a) Find the exact solution of the problem.(b) Use Euler's method with h = 0.1 to find approximate values of theproblem on the interval 1 ≤ t ≤ 1.4. Compare the results with the exactvalues of the solution.

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Answered: 2. Consider the initial value problem…

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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2. Consider the initial value problem tx' + x = 3t², syrols to x(1) = -2. pl (a) Find the exact solution of the problem. (b) Use Euler's method with h = 0.1 to find approximate values of the problem on the interval 1 ≤ t ≤ 1.4. Compare the results with the exact values of the solution.