Solution Found!
In 112, use the Laplace transform to solve the given differential equation subject to
Chapter 4, Problem 3(choose chapter or problem)
QUESTION:
In Problems 1–12, use the Laplace transform to solve the given differential equation subject to the indicated initial conditions.
\(y^{\prime \prime}+y=\delta(t-2 \pi)\), y(0)=0, \(y^{\prime}(0)=1\)
Questions & Answers
QUESTION:
In Problems 1–12, use the Laplace transform to solve the given differential equation subject to the indicated initial conditions.
\(y^{\prime \prime}+y=\delta(t-2 \pi)\), y(0)=0, \(y^{\prime}(0)=1\)
ANSWER:Step 1 of 2
Given differential equation is
With initial condition
Taking the Laplace transformation in the both sides of the given equation followed by the given initial conditions, it follows,
Here,