Solving Second Order Differential Equations

engineers.acad...
This video continues from previous videos on solving first-order differential equations and introduces the second order differential equation. This video addresses how we can solve homogenous second order differential equations with three worked examples.
First Order Differential Equation Videos:
Part 1: • Solving First Order Di...
Part 2: • Solving First Order Di...
More Second Order Differential Equation Videos:
Example 1 - Linear Motion: • Second Order Different...
Example 2 - Mechanical System: • Second Order Different...
Example 3 - RLC Circuit: • Second Order Different...
Non Homogenous 2ODE: • Solving Non-Homogenous...
To learn more about our courses and programmes please visit: engineers.acad...

[@realdka13]

I've spent like 2 hours on youtube trying to find a video to review this method of solving DE's. Its been 2 years since I've had DE. Thank you for pulling through

[@jamaljaffer8412]

It's a brilliant method of explaining the DE especially in solving RLC Circuit Problems / Analysis. many thanks.

[@judymueni7165]

God bless you 🙏🙏

[@clapyocheeks]

I've been struggling to understand RLC circuits since I took differential equations 3-4 semesters ago. I didn't find any luck with my book, lecture, or other youtube videos. This video made me really understand what's going on. Thank you so much!

[@EngineersAcademyLTD]

Glad it was helpful - there is a specific RLC example linked in the description also.

[@WisdomAfrica1990]

This is really helpful honestly. Thank you

[@aladuraagboola4599]

Wherever you are. May God bless you for this tutorial 🥺🙏🏼

[@keithlungile]

This is excellent, well explained!

[@mrmagoo-i2l]

Excellently explained. Very clear.

[@childofgod310]

wow the best teaching ever

[@erlingmadman6065]

Awesome stuff. Thank you!

[@sheilamawasa8552]

Great teaching

[@christinewanja8344]

excellent explanation Thankyou

[@naizfayasmin7551]

Excellent teaching Sir

[@DAHBLIFE]

Thank you! I can now use this in solving RLC Circuit Problems / Analysis

[@EngineersAcademyLTD]

Glad it is helpful - there is a specific RLC example here also kzbin.info/www/bejne/rWq9ZX-vbp1_mdk

[@jokerins7660]

Very useful video and examples for exam preparation. Thank you!

[@ziadnasser9197]

Excellent 🥰🥰

[@James-eo2wh]

Very good video and very useful leading up to my exam. Ps I think it’s homogeneous not homogenous

[@EngineersAcademyLTD]

My bad - I always thought the two words meant the same thing!

[@muhammadabdulrahman8665]

Thank you so much

[@NoobXgaming01541]

Thnku Sir🙌

[@masonalloway5964]

Hi. For example 3, when you substituted the imaginary component of m in for Beta, why did you disregard the negative imaginary component? Surely you could sub in - sqrt(11)/2 and achieve a completely different but valid answer? (great video btw)

[@EngineersAcademyLTD]

Its the magnitude of the imaginary component that is used as beta here in this particular formulation, ignoring sign.

[@descendantsofbookworm2127]

very useful video

[@alphaamorrivera1746]

Hello sir, in the 2nd example, how did you get the 9/4 and -9/4? Thank you!

[@EngineersAcademyLTD]

By solving the two simultaneous equations to find A and B. See here: kzbin.info/www/bejne/nJfXn55rqbuAisk

[@enocknyaanga4887]

Wonderful presentation

[@dollyarthiya7661]

What if the 2nd term is not given?

[@EngineersAcademyLTD]

If you mean that there is no dy/dx term in the equation then you can still use the auxiliary eqn but the value of b would be zero.

[@sydneyoduli7937]

Thank you so much