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Solved: In 112, use the Laplace transform to solve the given system of differential
Chapter 4, Problem 5(choose chapter or problem)
QUESTION:
In Problems 1–12, use the Laplace transform to solve the given system of differential equations.
\(2 \frac{d x}{d t}+\frac{d y}{d t}-2 x=1\)
\(\frac{d x}{d t}+\frac{d y}{d t}-3 x-3 y=2\)
x(0)=0, y(0)=0
Questions & Answers
QUESTION:
In Problems 1–12, use the Laplace transform to solve the given system of differential equations.
\(2 \frac{d x}{d t}+\frac{d y}{d t}-2 x=1\)
\(\frac{d x}{d t}+\frac{d y}{d t}-3 x-3 y=2\)
x(0)=0, y(0)=0
ANSWER:Step 1 of 3
Given system of differential equations is
With initial conditions
Taking the Laplace transformation in both sides of each of the equations of the given system followed by the given initial conditions, it results,
Here,