Differential Equation Initial Condition dy 2x + 12 (1, 2) dx 3у2 - 4 x-value 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 = (b) Find the exact solution of the differential equation analytically. (Enter your solution as an equation.) (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.)
Differential Equation Initial Condition dy 2x + 12 (1, 2) dx 3у2 - 4 x-value 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 = (b) Find the exact solution of the differential equation analytically. (Enter your solution as an equation.) (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.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 1CR
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