Solution Found!
In 31–36 use the substitution x = et to
Chapter 4, Problem 31E(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.
\(x^{2} y^{\prime \prime}+9 x y^{\prime}-20 y=0\)
Text Transcription:
x=e^t
x^2 y^prime prime+9 x y^prime-20 y=0
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.
\(x^{2} y^{\prime \prime}+9 x y^{\prime}-20 y=0\)
Text Transcription:
x=e^t
x^2 y^prime prime+9 x y^prime-20 y=0
ANSWER:Step 1 of 4
In this problem, we have to solve the differential equation by using the substitution to transform the given Cauchy-Euler equation to a differential equation with constant coefficients.