Solution Found!
Answer: In 1–8, the auxiliary equation for the given
Chapter 4, Problem 4E(choose chapter or problem)
In Problems , the auxiliary equation for the given differential equation has complex roots. Find a general solution.
\(z^{\prime \prime}-6 z^{\prime}+10 z=0\)
Equation Transcription:
Text Transcription:
z''-6z'+10z=0
Questions & Answers
QUESTION:
In Problems , the auxiliary equation for the given differential equation has complex roots. Find a general solution.
\(z^{\prime \prime}-6 z^{\prime}+10 z=0\)
Equation Transcription:
Text Transcription:
z''-6z'+10z=0
ANSWER:
Solution:
Step 1:
In this problem, we have to find a general solution to the given differential equation.
General form of second order differential equation is
where,
When function then, second order differential equation is called the homogenous form of the equation.
Here, therefore this is a homogenous form of second order differential equation.