Solution Found!
Solution: In 31–36 use the substitution x = et to transform
Chapter 4, Problem 36E(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.
\(x^{3} y^{\prime \prime \prime}-3 x^{2} y^{\prime \prime}+6 x y^{\prime}-6 y=3+\ln x^{3}\)
Text Transcription:
x=e^t
x^3 y^prime prime prime-3 x^2 y^prime prime+6 x y^prime-6 y=3+ln x^3
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.
\(x^{3} y^{\prime \prime \prime}-3 x^{2} y^{\prime \prime}+6 x y^{\prime}-6 y=3+\ln x^{3}\)
Text Transcription:
x=e^t
x^3 y^prime prime prime-3 x^2 y^prime prime+6 x y^prime-6 y=3+ln x^3
ANSWER:Step 1 of 4
In this problem we have to find solution to differential equation.