🔵16 - Bernoulli Differential Equations (dy/dx + p(x)y = q(x)y^n)

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

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

00:00 - Ex 1
12:42 - Ex 2

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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This is exhaustive. I never saw this in the lecture hall

hesedcharis

x^2/(xy-x^2) kindly solve this homogeneous equation.

magbomajoshua

Sir. How can you solve a question like these using your formulae.
Y'-³/x Y= Y⁵

Jonteh

boss abeg the Q2 the part wey you substitute the expressions and n why say the 1/2 from the integration part dey affect the constant c too

Mot_elevate_hub

The last part at the constant, there is a little confusion time of the video=27:25. The answer supposed to be y= ((sinx-cosx)/4 +ce^x )^2

iindongotaapopi

🔵16 - Bernoulli Differential Equations (dy/dx + p(x)y = q(x)y^n)

🔵16 - Bernoulli Differential Equations (dy/dx + p(x)y = q(x)y^n)

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