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

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
APPLIED ELECTRICITY

2. Linear Algebra / Math 151
LINEAR ALGEBRA

3. Basic Mechanics
BASIC MECHANICS / STATICS

4. Calculus with Analysis / Calculus 1 / Math 152
CALCULUS WITH ANALYSIS / CALCULUS 1 /...

5. Differential Equations / Math 251
DIFFERENTIAL EQUATIONS

6. Electric Circuit Theory / Circuit Design
ELECTRIC CIRCUIT THEORY / CIRCUIT DESIGN

Make sure to watch till the end.
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