Solution Found!
Answer: In 27–32, determine the form of a particular
Chapter 4, Problem 32E(choose chapter or problem)
QUESTION:
In Problems , determine the form of a particular solution for the differential equation. (Do not evaluate coefficients.)
\(y^{\prime \prime}-y^{\prime}-12 y=2 t^{6} e^{-3 t}\)
Equation Transcription:
Text Transcription:
y’’-y’-12y=2t^6e^-3t
Questions & Answers
QUESTION:
In Problems , determine the form of a particular solution for the differential equation. (Do not evaluate coefficients.)
\(y^{\prime \prime}-y^{\prime}-12 y=2 t^{6} e^{-3 t}\)
Equation Transcription:
Text Transcription:
y’’-y’-12y=2t^6e^-3t
ANSWER:
Solution :
Step 1 :
In this problem we have to determine the form of a particular solution for the given differential equation.
Now the auxiliary equation for the corresponding homogeneous equation is