Solve this linear differential equation of the 1st order with the given initial condition: y '+ (1/x)y = 3 y (1) = 2 Note: We will look for a particular solution in the form yp = ax + b
Solve this linear differential equation of the 1st order with the given initial condition: y '+ (1/x)y = 3 y (1) = 2 Note: We will look for a particular solution in the form yp = ax + b
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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Exercise 3. ANALYSIS
Solve this linear differential equation of the 1st order with the given initial condition:
y '+ (1/x)y = 3
y (1) = 2
Note: We will look for a particular solution in the form yp = ax + b
Expert Solution
Step 1
The given differential equation is and the initial condition is .
The differential equation is of the form where and .
The solution of the differential equation of the form is .
Step 2
The integrating factor is,
Then the solution of the equation is,
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