Solution Found!
In 31–36 use the substitution x = et to transform the
Chapter 4, Problem 35E(choose chapter or problem)
In Problems 31–36 use the substitution \(x=e^{t}\) to transform the given Cauchy-Euler equation to a differential equation with constant coefficients. Solve the original equation by solving the new equation using the procedures in Sections 4.3–4.5.
\(x^{2} y^{\prime \prime}-3 x y^{\prime}+13 y=4+3 x\)
Text Transcription:
x=e^t
x^2 y^prime prime-3 x y^prime+13 y=4+3 x
Questions & Answers
QUESTION:
In Problems 31–36 use the substitution \(x=e^{t}\) to transform the given Cauchy-Euler equation to a differential equation with constant coefficients. Solve the original equation by solving the new equation using the procedures in Sections 4.3–4.5.
\(x^{2} y^{\prime \prime}-3 x y^{\prime}+13 y=4+3 x\)
Text Transcription:
x=e^t
x^2 y^prime prime-3 x y^prime+13 y=4+3 x
ANSWER:Step 1 of 6
In this problem, we need to solve the Cauchy-Euler equation to a differential equation with constant coefficients.
Given that
x =