Linear Differential Equations

Steps Here is a step-by-step method for solving them: 1. Substitute y = uv, and dy dx = u dv dx + v du dx into dy dx + P (x)y = Q (x) 2. Factor the parts involving v 3. Put the v term equal to zero (this gives a differential equation in u and x which

Explain math

One plus one is two.

24/7 Live Specialist

We're here for you 24/7. Whether you need help with a product or just have a question, our customer support team is always available to lend a helping hand.

Improve your math performance

Completing a task step-by-step can help ensure that it is done correctly and efficiently.

Expert teachers will give you an answer in real-time

Looking for an answer to your question? Our expert instructors are here to help, in real-time.

x

5.3 First Order Linear Differential Equations

General and Standard Form •The general form of a linear first-order ODE is 𝒂 . 𝒅 𝒅 +𝒂 . = ( ) •In this equation, if 𝑎1 =0, it is no longer an differential equation and so 𝑎1 cannot be 0; and if 𝑎0 =0, it is a

Linear differential equation

The solution of a linear differential equation is through three simple steps. First simplify and write the given differential equation in the form dy/dx + Py = Q. For this find the Integrating Factor
Do math question

Linear Differential Equation (Solution & Solved Examples)

Let’s do some examples to show order and linearity of ODEs. We will be extremely thorough and cover many, many cases to ensure the concepts are drilled in your head! If you have any problems, feel free to contact us! Example problem: ( 1 –

  • Clear up mathematic problem
    Get Help with your Homework

    If you need help with your homework, our expert writers are here to assist you.

  • Clear up math equation
    Decide math problem

    Math is the study of numbers, shapes, and patterns. It is used to solve problems and to understand the world around us.

  • Math problem
    Decide math equations

    With Decide math, you can take the guesswork out of math and get the answers you need quickly and easily.

  • Figure out mathematic equation
    Decide mathematic tasks

    With Decide math, you can take the guesswork out of math and get the answers you need quickly and easily.

First Order Linear Differential Equations

Here we’ll be discussing linear first-order differential equations. Remember from the introduction to this section that these are ordinary differential equations (ODEs). We’ll look

735+ Consultants
94% Recurring customers
84155+ Orders Deliver

Worked example: linear solution to differential equation (video)

Linear ODE 35 Variation of Parameters Let Φ(t) be any F.M. for (LH). Then for any constant vector c∈ Fn, Φ(t)cis a solution of (LH). We will look for a solution of (LI) of the form x(t) = Φ(t)c(t)

Your Question? We Answer!

If you have a question, we have the answer! Our team of experts are here to help you with whatever you need.

Deal with math problem

Math is a subject that can be difficult for some people to grasp, but with a little practice, it can be easy to master.

Clarify math question

If you're having trouble understanding a math question, try clarifying it by rephrasing it in your own words.

Work on the task that is enjoyable to you

The best way to get work done is to find a task that is enjoyable to you.

Decide math

I can help you solve math equations quickly and easily.

Get math assistance online

Get math help online by chatting with a tutor or watching a video lesson.

They use our app

William Trejo

It has every type of option to solve a problem you could think of, app is great it works really well, it helps me with most of my problems, there's times it doesn't have the right method I need but they usually have it over time, i'm honestly amazed at how it reads my not-so-great handwriting so well.

Mike Hobson

It's a game changer. It always helps me with my math and homework. And the best part is its offline too. I have no idea of what I was doing before this app in algebra. This app is woth having it if you are struggling with math problems, really helps with my college math because it goes through step by step what to do instead of just giving you the answer.