/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q11E . find a differential operator t... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q11E (page 337)

. find a differential operator that annihilates the given function.

x4-x2+11

Short Answer

Expert verified

D5is the differential operator that annihilates the given function.

Step by step solution

01

Differentiate the function continuously

Let the function bef(x)=x4-x2+11

Then

f'(x)=4x3-2xf''(x)=12x2-2f'''(x)=24xf4x=24f5x=0

HenceD5[f]=0

Then D5is the differential operator that annihilates the given function.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Problems 1-6, use the method of variation of parameters to determine a particular solution to the given equation.

z'''+3z''-4z=e2x

Find a general solution to the givenhomogeneous equation.(D鈭�1)2(D+3)(D2+2D+5)2[y]=0

In Problems 1-6, use the method of variation of parameters to determine a particular solution to the given equation.

y'''-3y''+4y=e2x

find a differential operator that annihilates the given function

x2ex-xsin4x+x3

find a general solution to the given equation. y'''+y''-5y'+3y=e-x+sinx.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.