Solution Found!
Solved: In 19–21, solve the given initial value problem.
Chapter 5, Problem 20E(choose chapter or problem)
In Problems 19-21, solve the given initial value problem.
\(\frac{d x}{d t}=2 x+y-e^{2 t} ; x(0)=1\),
\(\frac{d y}{d t}=x+2 y ; y(0)=1\)
Equation transcription:
Text transcription:
\frac{d x}{d t}=2 x+y-e^{2 t} ; x(0)=1
\frac{d y}{d t}=x+2 y ; y(0)=1
Questions & Answers
QUESTION:
In Problems 19-21, solve the given initial value problem.
\(\frac{d x}{d t}=2 x+y-e^{2 t} ; x(0)=1\),
\(\frac{d y}{d t}=x+2 y ; y(0)=1\)
Equation transcription:
Text transcription:
\frac{d x}{d t}=2 x+y-e^{2 t} ; x(0)=1
\frac{d y}{d t}=x+2 y ; y(0)=1
ANSWER:Solution :
Step 1 :
In this problem we have to solve the given initial value problem.
Given initial value problem is
, and the initial condition and