Solution Found!
itial-value problem y(0) = 1. Express the solution of the
Chapter 2, Problem 42E(choose chapter or problem)
QUESTION:
Consider the initial-value problem \(y^{\prime}+e^{x} y=f(x)\), y(0) = 1. Express the solution of the IVP for x > 0 as a non elementary integral when f(x) = 1. What is the solution when f(x) = 0? When \(f(x)=e^{x}\) ?
Text Transcription:
y^prime+e^x y=f(x)
f(x)=e^x
Questions & Answers
QUESTION:
Consider the initial-value problem \(y^{\prime}+e^{x} y=f(x)\), y(0) = 1. Express the solution of the IVP for x > 0 as a non elementary integral when f(x) = 1. What is the solution when f(x) = 0? When \(f(x)=e^{x}\) ?
Text Transcription:
y^prime+e^x y=f(x)
f(x)=e^x
ANSWER:Step 1 of 4
In this problem we have given equation is
,
where for
.
We have to use initial condition, .