4. Find the general solution to the differential equation y" + 4y = cos 2x (where y' = ) dx
4. Find the general solution to the differential equation y" + 4y = cos 2x (where y' = ) dx
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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Question
Transcribed Image Text:4. Find the general solution to the differential equation
y" + 4y =
Cos 2.x
(where y' = )
Expert Solution
Step 1
The general solution of a higher-order linear non-homogeneous differential equation is the sum of two solutions. One solution is the complementary function. It is the solution of the corresponding homogeneous part. Another solution is the particular solution. There are many methods that are used to determine the particular solution. One of the efficient methods is the D operator method.
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