/*! 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} Q7E In problems 1-8 Classify the equ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q7E (page 64)

In problems 1-8 Classify the equation as separable, linear, exact, or none of these. Notice that some equations may have more than one classification.

2x+ycos(xy)dx+xcos(xy)-2ydy=0

Short Answer

Expert verified

The equation is exact.

Step by step solution

01

Find if the equation is separable

Here

2x+ycos(xy)dx+xcos(xy)-2ydy=0dydx=2x+ycos(xy)2y-xcos(xy)

This equation can be written in the form as g(x) h(y). so, this equation is not Separable

02

Determine if the equation is linear.

This equation is not linear of y and x because the RHS is not linear with respect to y and x respectively.

03

Evaluate whether the equation is exact.

The condition for exact is鈭�M鈭�y=鈭�N鈭�x .

M(x,y)=2x+ycosxyN(x,y)=xcosxy-2y鈭�M鈭�y=cosxy-xysinxy=鈭�N鈭�x

This equation is exact.

Hence, the equation is exact.

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 problem 7-16, solve the equation.dydx=3x21+y232

Use the method discussed under 鈥淗omogeneous Equations鈥� to solve problems 9- 16.

鈥�3x2-y2鈥�dx+xy-x3y-1dy=0

In problem 1-6 , determine whether the given differential equation is separable s2+dsdt=s+1st.

Question: In Problems 31-40, solve the initial value problem.

t+x+3dt+dx=0,鈥夆赌夆赌夆赌�x0=1

Question: Show that equation (13) reduces to an equation of the form dydx=G(ax+by),

when [Hint: If a1b2=a2b1, then a2/a1=b2/b1=k,so thata2=ka1 and b2=kb1.]

See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Mechanics 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.