/*! 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} Q6E In problems 1-8 Classify the equ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q6E (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.

y2dx+(2xy+cosy)dy=0

Short Answer

Expert verified

The equation is linear and also exact.

Step by step solution

01

Find if the equation is separable

Here

y2dx+(2xy+cosy)dy=0dxdy=-(2xy+cosy)y2

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

The equation can be written as

dxdy+xy=-cosyy

Now,

P(x)=1y,Q(x)=-cosyy

This equation is a linear.

03

 Step 3: Evaluate whether the equation is exact

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

M(x,y)=y2N(x,y)=2xy+cosy鈭�M鈭�y=2y鈭�N鈭�x=2y鈭�M鈭�y=鈭�N鈭�x

This equation is exact.

Hence, the equation is linear and also 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

Question: In Problems 1-30, solve the equation.

鈥�yx-y-2dx+xy-x+4dy=0

Question: In Problems 1-30, solve the equation.

dydx=2x+y-12

Question: In Problems 33鈥�40, solve the equation given in:

Problem 8.

Question: Use the substitution y=vx2to solve

dydx=2yx+cosyx2

Question: In Problems 1-30, solve the equation.

鈥�x2-2y-3dy+2xy-3x2dx=0
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

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.