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d²y A. dx2 dy +9y + 12sin3x 0,x 2 0 with y = 1, dx 2 at x = 0 %3D a) Show that a solution of the differential equation is y = (1 + 2x)cos3x b) Sketch the graph of y(x). B. Find the general solution of the following differential eguation y' -2y = 2

d²y A. dx2 dy +9y + 12sin3x 0,x 2 0 with y = 1, dx 2 at x = 0 %3D a) Show that a solution of the differential equation is y = (1 + 2x)cos3x b) Sketch the graph of y(x). B. Find the general solution of the following differential eguation y' -2y = 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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B. Find the general solution of the following differential equation d?y dy A. +9y + 12sin3x 0, xM0 with y = 1, dx2 = 2 at x = 0 dx %3D a) Show that a solution of the differential equation is y = (1 + 2x)cos3x b) Sketch the graph of y(x). B. Find the general solution of the following differential equation y' - 2y 2
Transcribed Image Text:B. Find the general solution of the following differential equation d?y dy A. +9y + 12sin3x 0, xM0 with y = 1, dx2 = 2 at x = 0 dx %3D a) Show that a solution of the differential equation is y = (1 + 2x)cos3x b) Sketch the graph of y(x). B. Find the general solution of the following differential equation y' - 2y 2
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