/*! 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} Q1RP Find a general solution to the g... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q1RP (page 231)

Find a general solution to the given differential equationy''+8y'-9y=0.

Short Answer

Expert verified

The general solution to the given differential equation isy=c1e-9t+c2et.

Step by step solution

01

Write the auxiliary equation of the given differential equation. 

The given differential equation isy''+8y'-9y=0.

The auxiliary equation for the above equationm2+8m-9=0.

02

Find the roots of the auxiliary equation

Solve the auxiliary equation,

m2+8m-9=0m2+9m-m-9=0mm+9-1m+9=0m+9m-1=0

The roots of the auxiliary equation arem1=-9鈥�&鈥�m2=1.

The general solution of the given equation isy=c1e-9t+c2et.

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

Find a general solution to the differential equation.

y''-y=-11t+1

Solve the given initial value problem. y''+2y'+2y=0;y(0)=2,y'(0)=1

Solve the given initial value problem. w''-4w'+2w=0;w(0)=0,w'(0)=1

Determine the form of a particular solution for the differential equation. (Do not evaluate coefficients.)

y''+3y'-7y=t4et

Find a general solution to the differential equation. y''(胃)+2y'(胃)+2y(胃)=e-胃肠辞蝉胃
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Logic and Functions

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.