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Consider the differential equation: (5x – 1)'y" (x) + 3(5x – 1)y(x) + y(x) = 9(5x - 1)-1 (1) a) Using the change of variable ez = 5x – 1 and applying Euler's method, prove that the differential equation (1), becomes the differential equation (2): 25Y"(2) – 10Y'(z) +Y (2) = 9e- (2) b) Solve the differential equation (2).

Consider the differential equation: (5x – 1)'y" (x) + 3(5x – 1)y(x) + y(x) = 9(5x - 1)-1 (1) a) Using the change of variable ez = 5x – 1 and applying Euler's method, prove that the differential equation (1), becomes the differential equation (2): 25Y"(2) – 10Y'(z) +Y (2) = 9e- (2) b) Solve the differential equation (2).

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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Reply as soon as posible, please. This is a differential equation.

Consider the differential equation: (5x – 1)'y" (x) + 3(5x – 1)y(x) + y(x) = 9(5x - 1)-1 (1) a) Using the change of variable ez = 5x – 1 and applying Euler's method, prove that the differential equation (1), becomes the differential equation (2): 25Y"(2) – 10Y'(z) +Y (z) = 9e- (2) b) Solve the differential equation (2).
Transcribed Image Text:Consider the differential equation: (5x – 1)'y" (x) + 3(5x – 1)y(x) + y(x) = 9(5x - 1)-1 (1) a) Using the change of variable ez = 5x – 1 and applying Euler's method, prove that the differential equation (1), becomes the differential equation (2): 25Y"(2) – 10Y'(z) +Y (z) = 9e- (2) b) Solve the differential equation (2).
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