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Solved: In 39–44, is a two parameter family of solutions
Chapter 1, Problem 40E(choose chapter or problem)
In Problems 39–44, \(y=c_{1} \cos 2 x+c_{2} \sin 2 x\) is a two parameter family of solutions of the second-order DE \(y^{\prime \prime}+4 y=0\). If possible, find a solution of the differential equation that satisfies the given side conditions. The conditions specified at two different points are called boundary conditions.
y(0)=0, \(y(\pi)=0\)
Text Transcription:
y = c_1 cos 2x + c_2 sin 2x
y^prime prime + 4y = 0
y(pi)=0
Questions & Answers
QUESTION:
In Problems 39–44, \(y=c_{1} \cos 2 x+c_{2} \sin 2 x\) is a two parameter family of solutions of the second-order DE \(y^{\prime \prime}+4 y=0\). If possible, find a solution of the differential equation that satisfies the given side conditions. The conditions specified at two different points are called boundary conditions.
y(0)=0, \(y(\pi)=0\)
Text Transcription:
y = c_1 cos 2x + c_2 sin 2x
y^prime prime + 4y = 0
y(pi)=0
ANSWER:Step 1 of 3
In this problem we need to find the particular solution of the differential equation for the given boundary condition.