In , verify by substitution that each given

Chapter 1, Problem 6P

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QUESTION:

Problem 6P

In Problems, verify by substitution that each given function is a solution of the given differential equation. Throughout these problems, primes denote derivatives with respect to x.

y″ + 4y′ + 4y = 0; y1 = e−2x, y2 = xe−2x

Questions & Answers

QUESTION:

Problem 6P

In Problems, verify by substitution that each given function is a solution of the given differential equation. Throughout these problems, primes denote derivatives with respect to x.

y″ + 4y′ + 4y = 0; y1 = e−2x, y2 = xe−2x

ANSWER:

Solution:

Step 1 of 4:

In this problem, we need to verify that each given function is a solution of the differential equation by using the substitution method.

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