# Constant Coefficients and Maple Verification

Could you work out the problem and also add the Maple verification if possible? Please see the full problem description in attached PDF.

© BrainMass Inc. brainmass.com October 10, 2019, 4:01 am ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/constant-coefficients-maple-verification-446385

#### Solution Preview

Hello and thank you for posting your question to Brainmass.

The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.

Feedback is always appreciated.

1.

The equation is:

(1.1)

The associated homogenous equation is:

(1.2)

We "guess" a homogenous solution in the form:

(1.3)

When we plug it into (1.2) we get the incidental equation.

(1.4)

Note that the coefficient of the nth power of r corresponds with the coefficient of the nth order derivative.

The solutions to equation (1.4) are:

(1.5)

Thus, the two homogenous solutions are:

(1.6)

Now we need to find a particular solution to the non-homogenous equation.

We note that the non homogenous term is in itself a solution of a homogenous equation with constant coefficients ( ) so we can use the method of undetermined coefficients.

We set the ...

#### Solution Summary

The expert examines constant coefficients and maple verification.