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Differential Equation Initial Condition x-value dy 2x + 12 (1, 2) dx 3y² - 4 (a) Use Euler's Method with a step size of h = 0.1 to approximate the particular solution of the initial value problem at the given x-value. (Round your answer t four decimal places.) y = 3.0318 = De (b) Find the exact solution of the differential equation analytically. (Enter your solution as an equation.) 3 - - 4y-15=0 x = 2 X (c) Find the error between Euler's Method and the exact solution by comparing the solutions at the given x-value. (Round your answer to four decimal places.) 0.0318

Differential Equation Initial Condition x-value dy 2x + 12 (1, 2) dx 3y² - 4 (a) Use Euler's Method with a step size of h = 0.1 to approximate the particular solution of the initial value problem at the given x-value. (Round your answer t four decimal places.) y = 3.0318 = De (b) Find the exact solution of the differential equation analytically. (Enter your solution as an equation.) 3 - - 4y-15=0 x = 2 X (c) Find the error between Euler's Method and the exact solution by comparing the solutions at the given x-value. (Round your answer to four decimal places.) 0.0318

Advanced Engineering Mathematics
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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Consider the following. Differential Equation Initial Condition dy 2x + 12 dx 3у2 - 4 = (1, 2) x-value X x = 2 (a) Use Euler's Method with a step size of h = 0.1 to approximate the particular solution of the initial value problem at the given x-value. (Round your answer to four decimal places.) y = 3.0318 (b) Find the exact solution of the differential equation analytically. (Enter your solution as an equation.) yo - 4y - 150 (c) Find the error between Euler's Method and the exact solution by comparing the solutions at the given x-value. (Round your answer to four decimal places.) 0.0318
Transcribed Image Text:Consider the following. Differential Equation Initial Condition dy 2x + 12 dx 3у2 - 4 = (1, 2) x-value X x = 2 (a) Use Euler's Method with a step size of h = 0.1 to approximate the particular solution of the initial value problem at the given x-value. (Round your answer to four decimal places.) y = 3.0318 (b) Find the exact solution of the differential equation analytically. (Enter your solution as an equation.) yo - 4y - 150 (c) Find the error between Euler's Method and the exact solution by comparing the solutions at the given x-value. (Round your answer to four decimal places.) 0.0318
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