In 1–14, find a general solution for the

Chapter 6, Problem 6E

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QUESTION:

In Problems 1-14, find a general solution for the differential equation with  as the independent variable.

\(y^{\prime \prime \prime}-y^{n}+2 y=0\)

Equation transcription:

Text transcription:

y^{prime prime prime}-y^{n}+2 y=0

Questions & Answers

QUESTION:

In Problems 1-14, find a general solution for the differential equation with  as the independent variable.

\(y^{\prime \prime \prime}-y^{n}+2 y=0\)

Equation transcription:

Text transcription:

y^{prime prime prime}-y^{n}+2 y=0

ANSWER:

Problem 6E

In Problems 1–14, find a general solution for the differential equation with x as the independent variable.

Solution: our aim is to find the C.F (Complementary function)

Step 1. At first we need to find the C.F

For C.F , the auxiliary equation is

……………………………….. (1)

.............................................. (2)

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