Euler Cauchy Method: Apply Euler Cauchy to solve the Differential Equation (DE) of y' = y - x. Where h = 0.1 and y(0) = 0.5 (initial condition). Approximation to x = 0.1. When determining the solution to the DE, by means of integrating factor method, the solution is: y = - x + 1 + C/(e^x) WHAT IS THE VALUE OF C? We need a value of c to determine the values of the exact solutions. Thank you in advance.
Euler Cauchy Method: Apply Euler Cauchy to solve the Differential Equation (DE) of y' = y - x. Where h = 0.1 and y(0) = 0.5 (initial condition). Approximation to x = 0.1. When determining the solution to the DE, by means of integrating factor method, the solution is: y = - x + 1 + C/(e^x) WHAT IS THE VALUE OF C? We need a value of c to determine the values of the exact solutions. Thank you in advance.
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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Euler Cauchy Method:
Apply Euler Cauchy to solve the Differential Equation (DE) of y' = y - x. Where h = 0.1 and y(0) = 0.5 (initial condition). Approximation to x = 0.1.
When determining the solution to the DE, by means of integrating factor method, the solution is:
y = - x + 1 + C/(e^x)
WHAT IS THE VALUE OF C?
We need a value of c to determine the values of the exact solutions.
Thank you in advance.
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