Use the improved Euler's method with h = 0.05 to find approximate values of the solution to the initial value problem att = 0.1, 0.2, 0.3, 0.4.y = 4t + e-ty, y(0) = 1In your calculations use rounded to eight decimal places numbers, but the answers should be rounded to five decimal places.y(0.1) 2y(0.2) zy(0.3) =y(0.4) =

Given the DE y'=4t+e-ty, y0=1, h=0.05.. The improved euler's formula is xi+1=xi+h,…

Use the improved Euler's method with h = 0.05 to find approximate values of the solution to the initial value problem at t = 0.1, 0.2, 0.3, 0.4. y' = 4t + e-t, y(0) = 1 In your calculations use rounded to eight decimal places numbers, but the answers should be rounded to five decimal places. y(0.1) = i y(0.2) × i y(0.3) = y(0.4) =

Use the improved Euler's method with h = 0.05 to find approximate values of the solution to the initial value problem at t = 0.1, 0.2, 0.3, 0.4. y' = 4t + e-t, y(0) = 1 In your calculations use rounded to eight decimal places numbers, but the answers should be rounded to five decimal places. y(0.1) = i y(0.2) × i y(0.3) = y(0.4) =

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Use the improved Euler's method with h = 0.05 to find approximate values of the solution to the initial value problem at
t = 0.1, 0.2, 0.3, 0.4.
y = 4t + e-ty, y(0) = 1
In your calculations use rounded to eight decimal places numbers, but the answers should be rounded to five decimal places.
y(0.1) 2
y(0.2) z
y(0.3) =
y(0.4) =

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