Solution Found!
Solution: In 9–26, find a particular solution to the
Chapter 4, Problem 15E(choose chapter or problem)
In Problems 9-26, find a particular solution to the differential equation.
\(\frac{d^{2} y}{d x^{2}}-5 \frac{d y}{d x}+6 y=x e^{x}\)
Equation Transcription:
Text Transcription:
{d^{2}y}over{dx^{2}}-5{dy}over{dx}+6 y=xe^{x}
Questions & Answers
QUESTION:
In Problems 9-26, find a particular solution to the differential equation.
\(\frac{d^{2} y}{d x^{2}}-5 \frac{d y}{d x}+6 y=x e^{x}\)
Equation Transcription:
Text Transcription:
{d^{2}y}over{dx^{2}}-5{dy}over{dx}+6 y=xe^{x}
ANSWER:
Solution:
In this problem we are asked to find a specific solution to the given differential equation.
Step 1
Given : .
Considering as a particular solution of the given differential equation.
This solution must satisfy the given differential equation therefore we calculate the different derivatives of .
Substituting the values of different derivatives in the differential equation