Variation of parameters to solve differential equations

A lesson on how to use the method of variation of parameters to solve second order ordinary differential equations with constant coefficients. Several examples are discussed.

Category:

Education

Tags:

• variation
• of
• parameters
• constants
• ordinary
• differential
• equations
• second
• order
• example
• solution
• educational
• mathematics
• UNSW
• Sydney
• Chris
• Tisdell
• MATH2019
• how
• to

[lecolis]

what is the little a beside the wronskian in the v1 v2 equations?

[DrChrisTisdell]

@lecolis We're solving the ODE ay'' + by' + cy = G(x). so the "a" is the coefficient of y''/

[viktord1]

This is very helpful but I'm never given the solution to the homogeneous problem and that's what I'm having the most problems with.

[DrChrisTisdell]

@viktord1 That's correct - this isn't a video about the homogeneous problem, so may I suggest /watch?v=xtHGJtsLqbs

[invaderjmgjerwin]

Simply "WELL EXPLAINED"...!! Thank you =)

[KraZKaiL]

I didn't understand my prof and my lab instructor. Thanks to you I understand it very well!

[tanglx]

very helpful, thank you!

[KyleBoy0892]

My test is tomorrow and I would like to thank you for this video. My professor's method is similar but slightly more involved. I will definitely be using this method on the exam!

[ownedncut]

thanks

[ownedncut]

thanks