Solution Found!
Answer: In 3–8, a nonhomogeneous equation and a particular
Chapter 4, Problem 5E(choose chapter or problem)
In Problems , a nonhomogeneous equation and a particular solution are given. Find a general solution for the equation.
\(y^{\prime \prime}+5 y^{\prime}+6 y=6 x^{2}+10+2+12 e^{x}\) , \(y_{p}(x)=e^{x}+x^{2}\)
Equation Transcription:
Text Transcription:
y’’+5y’+6y=6x^2+10+2+12e^x
y_p(x)=e^x+x^2
Questions & Answers
QUESTION:
In Problems , a nonhomogeneous equation and a particular solution are given. Find a general solution for the equation.
\(y^{\prime \prime}+5 y^{\prime}+6 y=6 x^{2}+10+2+12 e^{x}\) , \(y_{p}(x)=e^{x}+x^{2}\)
Equation Transcription:
Text Transcription:
y’’+5y’+6y=6x^2+10+2+12e^x
y_p(x)=e^x+x^2
ANSWER:
Solution
Step 1:
We have given a homogeneous equation and particular solution we need to find the general solution for the given equation