This question is designed to test your ability to formulate the correct try in the method of undetermined coefficients. For each of the following equations you must enter the correct try for a particular solution. The undetermined coefficients must be the upper case letters P, Q, R, S, T etc. starting at P and using as many as you need in order. If you need three coefficients, then use P, Q and R. If you need four coefficients, then use P, Q, R and S. Answers with unnecessary coefficients will not be accepted. Also please note that Webwork will not accept complex numbers. Thus instead of entering Pe(3+2i)x + Qe(3-2i) you must enter the equivalent real-variable form e³ (P cos(2x) + Q sin(2x)). Do not solve for the undetermined coefficients. Even if you replace one or more coefficients with their correct values, your answer will be marked incorrect. y" - 5y + 4y = x²e-5x Try Yp(x)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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This question is designed to test your ability to formulate the correct try in the method of undetermined coefficients. For each of the following equations you must
enter the correct try for a particular solution. The undetermined coefficients must be the upper case letters P, Q, R, S, T etc. starting at P and using as many as you
need in order. If you need three coefficients, then use P, Q and R. If you need four coefficients, then use P, Q, R and S. Answers with unnecessary coefficients will
not be accepted. Also please note that Webwork will not accept complex numbers. Thus instead of entering Pe(3+2i)x + Qe(3—2i) you must enter the equivalent
real-variable form e³× (P cos(2x) + Q sin(2x)). Do not solve for the undetermined coefficients. Even if you replace one or more coefficients with their correct
values, your answer will be marked incorrect.
Try()
Try Yp(x)=
=
Try yp(x)
Try Yp(x)
==
y" - 5y + 4y = = x²e
-5x
ý – 4 =1+xe
-5x
y" — 2y + 17y = (4x² + 4x)e
-
4x
ý" – 16y = e* t xe
=e
I
Transcribed Image Text:This question is designed to test your ability to formulate the correct try in the method of undetermined coefficients. For each of the following equations you must enter the correct try for a particular solution. The undetermined coefficients must be the upper case letters P, Q, R, S, T etc. starting at P and using as many as you need in order. If you need three coefficients, then use P, Q and R. If you need four coefficients, then use P, Q, R and S. Answers with unnecessary coefficients will not be accepted. Also please note that Webwork will not accept complex numbers. Thus instead of entering Pe(3+2i)x + Qe(3—2i) you must enter the equivalent real-variable form e³× (P cos(2x) + Q sin(2x)). Do not solve for the undetermined coefficients. Even if you replace one or more coefficients with their correct values, your answer will be marked incorrect. Try() Try Yp(x)= = Try yp(x) Try Yp(x) == y" - 5y + 4y = = x²e -5x ý – 4 =1+xe -5x y" — 2y + 17y = (4x² + 4x)e - 4x ý" – 16y = e* t xe =e I
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