Consider the differential equation: (56x^2)y″−16x(x+7)y′+16(x+7)y=5x3, x>0.   You can verify that y1=2x and y2=5xexp⁡(2x/7) satisfy the corresponding homogeneous equation.   Compute the Wronskian W between y1 and y2 Apply variation of parameters to find a particular solution.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the differential equation: (56x^2)y″−16x(x+7)y′+16(x+7)y=5x3, x>0.

 

You can verify that y1=2x and y2=5xexp⁡(2x/7) satisfy the corresponding homogeneous equation.

 
  1. Compute the Wronskian W between y1 and y2
  2. Apply variation of parameters to find a particular solution.
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