Solution Found!
solve the given differential equation.
Chapter 4, Problem 8E(choose chapter or problem)
QUESTION:
In Problems 1–18 solve the given differential equation.
\(x^{2} y^{\prime \prime}+3 x y^{\prime}-4 y=0\)
Text Transcription:
x^2 y^prime prime+3 x y^prime-4 y=0
Questions & Answers
QUESTION:
In Problems 1–18 solve the given differential equation.
\(x^{2} y^{\prime \prime}+3 x y^{\prime}-4 y=0\)
Text Transcription:
x^2 y^prime prime+3 x y^prime-4 y=0
ANSWER:Step 1 of 3
A second order Euler homogeneous ODE has the form of
For an equation , assume a solution of the form
Rewrite the equation with
Simplify
Solve
For two real roots , the general solution takes the form :
Therefore,