💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
Get the answer to your homework problem.
Try Numerade Free for 30 days
Like
Report
For the following problems, find the solution to the initial value problem.$$y^{\prime}=8 x-\ln x-3 x^{4}, y(1)=5$$
$y=4 x^{2}-x \ln (x)+x-\frac{3 x^{5}}{5}+\frac{3}{5}$
Calculus 2 / BC
Chapter 4
Introduction to Differential Equations
Section 5
First-order Linear Equations
Differential Equations
Harvey Mudd College
University of Michigan - Ann Arbor
Idaho State University
Lectures
01:11
In mathematics, integratio…
06:55
In grammar, determiners ar…
05:19
Find the solution to the i…
02:56
Solve the given initial-va…
01:57
Solving initial value prob…
01:27
Find the particular soluti…
03:41
Solve the initial value pr…
00:22
Solve the following initia…
02:58
02:18
02:05
01:29
this video. We are going to solve this differential equation. You can see that there is no term with why Here does the y by the X equal function all ex So it is separable right away we can have in the girl D Why here equals to it Grow this Holding the eggs And the first and the last home Just pulling the meal so we can do it Pry away the first time gonna be for X square The last term gonna be minus tree X to the five or five The problem lies in what is integrated Lock ex the ex if we can If you can fight this, you gonna get our answer now I just say that this to integration will have their own con center But I will push them into into the last integration So let's not worry about it for now. On Dhe, since we I don't know there's no former life or like one step integration for long off X, we're gonna use it to go bypassed a game let you belong off eggs Devi will be just the eggs. All you can think of it as one D. A's so we will be just X and the exists. One awakes. Now we put this in your have eggs time love eggs minus integral d x Right, Because one over X and X will can so each other out. So this is eight block eggs minus six. Now we can put this back in here and we gonna have Sorry, Constanta. He asked you. Ah, we have general solution like this. So this is what we just in the great out. And we also have about to recondition. So when X is one, why is five this will be for lock one is zero plus one minus. This is three or five plus c so I will see Will be tree over five and now we have the answer. So she nc to see 23 or five and we're gonna get the particular answer. And that he said thank you
View More Answers From This Book
Find Another Textbook
Numerade Educator
In mathematics, integration is one of the two main operations in calculus, w…
In grammar, determiners are a class of words that are used in front of nouns…
Find the solution to the initial-value problem.$$y^{\prime}=e^{y} 5^{x},…
Solve the given initial-value problem.$$\left(3 x^{2} \ln x+x^{2}-y\righ…
Solving initial value problems Solve the following initial value problems.
Find the particular solution for each initial value problem.$$\frac{d y}…
Solve the initial value problems.$$\frac{d y}{d x}=4 x\left(x^{2}+8\righ…
Solve the following initial value problems.$$y^{\prime}(x)=4 \sec ^{2} 2…
Solve the following initial-value problems by using integrating factors.…
00:54
Find the limit of each of the following sequences, using L’Hopital’s rule wh…
05:22
What are the integrating factors for the following differential equations?
02:42
Solve the following differential equations by using integrating factors.…
03:15
01:25
Differential equations can be used to model disease epidemics. In the next s…
04:01
For the following problems, determine how parameter $a$ affects the solution…
05:32
03:26
For the following problems, find the solution to the initial value problem.<…
01:28
In the following exercises, use partial fractions to find the power series o…
01:00
Use the ratio test to determine whether $\sum_{n=1}^{\infty} a_{n}$ converge…
Create an account to get free access
Join Numerade as a
By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy
or sign up with
Already have an account? Log in
