Solution Found!
In 31–34 verify that the given two-parameter family of
Chapter 4, Problem 31E(choose chapter or problem)
In Problems 31–34 verify that the given two-parameter family of functions is the general solution of the nonhomogeneous differential equation on the indicated interval.
\(y^{\prime \prime}-7 y^{\prime}+10 y=24 e^{x}\)
\(y=c_{1} e^{2 x}+c_{2} e^{5 x}+6 e^{x},(-\infty,)\)
Text Transcription:
y^{\prime \prime}-7 y^{\prime}+10 y=24 e^{x}
y=c_{1} e^{2 x}+c_{2} e^{5 x}+6 e^{x},(-\infty,)
Questions & Answers
QUESTION:
In Problems 31–34 verify that the given two-parameter family of functions is the general solution of the nonhomogeneous differential equation on the indicated interval.
\(y^{\prime \prime}-7 y^{\prime}+10 y=24 e^{x}\)
\(y=c_{1} e^{2 x}+c_{2} e^{5 x}+6 e^{x},(-\infty,)\)
Text Transcription:
y^{\prime \prime}-7 y^{\prime}+10 y=24 e^{x}
y=c_{1} e^{2 x}+c_{2} e^{5 x}+6 e^{x},(-\infty,)
ANSWER:Step 1 of 4
Here we have to verify the following given two parameter family of functions
is the general solution of nonhomogeneous differential equation on the given interval