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Answer: In 21 –24 verify that the indicated family of
Chapter 1, Problem 23E(choose chapter or problem)
In Problems 21–24 verify that the indicated family of functions is a solution of the given differential equation. Assume an appropriate interval I of definition for each solution
\(\frac{d^{2} y}{d x^{2}}-4 \frac{d y}{d x}+4 y=0\) ; \(y=c_{1} e^{2 x}+c_{2} x e^{2 x}\)
Text Transcription:
d^2 y/dx^2 - 4dy/dx + 4y = 0
y = c_1 e^2x + c_2 xe^2x
Questions & Answers
QUESTION:
In Problems 21–24 verify that the indicated family of functions is a solution of the given differential equation. Assume an appropriate interval I of definition for each solution
\(\frac{d^{2} y}{d x^{2}}-4 \frac{d y}{d x}+4 y=0\) ; \(y=c_{1} e^{2 x}+c_{2} x e^{2 x}\)
Text Transcription:
d^2 y/dx^2 - 4dy/dx + 4y = 0
y = c_1 e^2x + c_2 xe^2x
ANSWER:Step 1 of 3
In this problem we need to verify that given family of functions is a solution of given differential equation.