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dx Show that a solution of the differential equation is y = (1 + 2x) sin3x Sketch the graph of y(x).

dx Show that a solution of the differential equation is y = (1 + 2x) sin3x Sketch the graph of y(x).

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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d²y A. +9y-12cos3x = 0, x ≥ 0 with y=0,2 = 3 at x = 0 dx² dx a) Show that a solution of the differential equation is y = (1 + 2x)sin3x b) Sketch the graph of y(x). B. By using the n-th root test method, test the convergence of the following series: Σ(1-² n=1
Transcribed Image Text:d²y A. +9y-12cos3x = 0, x ≥ 0 with y=0,2 = 3 at x = 0 dx² dx a) Show that a solution of the differential equation is y = (1 + 2x)sin3x b) Sketch the graph of y(x). B. By using the n-th root test method, test the convergence of the following series: Σ(1-² n=1
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