Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Determine the order of the following differential equations.$\left(y^{\prime}\right)^{2}=y^{\prime}+2 y$

First order

Calculus 2 / BC

Chapter 4

Introduction to Differential Equations

Section 1

Basics of Differential Equations

Differential Equations

Campbell University

Oregon State University

University of Michigan - Ann Arbor

Idaho State University

Lectures

13:37

A differential equation is…

33:32

00:20

Determine the order of the…

00:46

00:52

00:36

01:15

00:51

00:57

00:53

01:14

00:31

Which of the following dif…

07:47

Solve the given differenti…

01:27

Find the general solution …

01:47

Determine the general solu…

01:04

Classify the differential …

04:13

02:39

02:37

01:31

Write the following first-…

01:03

so to determine the order of this equation, we essentially want to determine what is the highest power derivative that we have here. And so we see that we have a why with no derivative. So that's not going to be a high order. But we also have a Y prime in a white prime squared. So the Squared might make this a little bit trickier because we might be tempted to say its second order. But because really, it's still the first derivative that just tells us that our highest, a derivative, is going to be one, so we have a first order.

View More Answers From This Book

Find Another Textbook

A differential equation is a mathematical equation for an unknown function o…

Determine the order of the following differential equations.$y^{\prime}=…

Determine the order of the following differential equations.$y^{\prime}+…

Determine the order of the following differential equations.$y^{\prime \…

Determine the order of the following differential equations.$\frac{d y}{…

Determine the order of the differential equation.$$\frac{d^{2} y}{d x^{2…

Determine the order of the differential equation.$$y^{\prime \prime}+x y…

Determine the order of the differential equation.$$\sin \left(y^{\prime …

Determine the order of the following differential equations.$\left(\frac…

Determine the order of the differential equation.$$\left(\frac{d y}{d x}…

Which of the following differential equations are first-order?(a) $y^{\p…

Solve the given differential equation.$$y^{\prime \prime}+2 y^{-1}\left(…

Find the general solution of the first-order linear differential equation.

Determine the general solution to the given differential equation.$$y^{\…

Classify the differential equation. Determine the order, whether it is linea…

Find the general solution to the second-order differential equation$$\fr…

Determine the general solution to the given differential equation.$$\lef…

Write the following first-order differential equations in standard form.…

01:50

Fill in the blank to make a true statement.$$\sin ^{2} x+________ =…

00:58

Use a table of integrals to evaluate the following integrals.$$\int …

In using the technique of integration by parts, you must carefully choose wh…

01:36

Use a calculator or CAS to evaluate the following integrals. $$[\mat…

00:49

Draw the direction field for the following differential equations, then solv…

00:33

Determine whether the improper integrals converge or diverge. If possible, d…

02:11

Use tables to evaluate the integrals. You may need to complete the square or…

02:18

Find the integral by using the simplest method. Not all problems require int…

Verify that the following functions are solutions to the given differential …