🔵15 - Linear Differential Equations: Initial Value Problems (Solving Linear First Order ODE's)

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In this video, we shall consider another method in solving differential Equations, we shall be looking at linear first order differential equations.
A Linear First Order Differential Equation is an equation of the form
dy/dx + p(x) = q(x), where both p and q are all functions of x.

Steps to solve Linear First Order ODE
1. Rearrange the DE in the form: dy/dx + p(x)y = q(x)
2. Find the integrating factor, u(x)
3. Solve for the general solution

00:00 - Ex 1
08:11 - Ex 2
15:10 - Ex 3

Playlists on various Course
1. Applied Electricity

2. Linear Algebra / Math 151

3. Basic Mechanics

4. Calculus with Analysis / Calculus 1 / Math 152

5. Differential Equations / Math 251

6. Electric Circuit Theory / Circuit Design

Make sure to watch till the end.
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Thank you.

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You're my best teacher though am also s teacher
Continue teaching the nation ❤❤

IsifuMwidu

Thank you so much, you are a great teacher and provide great guidance. Much appreciated

tselantsepe

When I used the Non Exact Diff Equa solving process, I found Y= 1/12((1/Xcube) + Xcube) for Particular solution.

A.Hisham

hello, for the time stamp 5:50 wouldnt the integral of c be cx? and then we add another +c constant of integration? like if c is part of the formula wouldnt we integrate it as well?

maryia

for example 3, i don't understand how integral of tanx becomes sec x. for my working, i rewrite the tan x as sinx/cosx, and i got my answer as 1/cos x instead

nhaz

Saviour.. where can o locate u.. or email address

Joeddytech

🔵15 - Linear Differential Equations: Initial Value Problems (Solving Linear First Order ODE's)

🔵15 - Linear Differential Equations: Initial Value Problems (Solving Linear First Order ODE's)...

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