Linear Higher Order Differential Equation | CF & PI |Lecture-I

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This video contains Concepts of Higher Order Differential Equation with Constant Coefficient & how to find Complimentary Function and Particular Integral.This topic is also known as linear differential equation of higher order with constant coefficient.This Video also Covers CF and PI Based Problem. Which is useful for students of B.Tech/ B.Sc./M.Sc. Mathematics students. Also for students preparing IIT-JAM, GATE, CSIR-NET and other.

Time Stamp
0:00 - An introduction
0:43 - Concept & Form of Linear higher order differential equation with constant coefficient
2:52 - Rules of finding Complementry function with example
7:09 - Example 1
7:37 - Example 2
8:43 - Example 3
9:40 - Example 4
11:15 - Rule I of finding Particular Integral
12:34 - Example 5
13:40 - Example 6
15:35 - Rule II of finding Particular Integral
17:00 - Example 7
19:18 - Example 8
22:34 - Rule III of finding Particular Integral
23:45 - Example 9
26:58 - Example 10
32:16 - Conclusion of video

#ComplementaryFunction #PerticularIntegral #DifferentialEquation #GATE #JAM

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Dr.Gajendra Purohit

[priyasrivastva]

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[kanikasingla]

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[secretwonders]

30 minutes ago, I was completely new to the topic, and now it seems so easy that I feel like I am doing this from my childhood. Thankyou sir!

[yashwantsingh]

गुरुर्ब्रह्मा ग्रुरुर्विष्णुः गुरुर्देवो महेश्वरः । गुरुः साक्षात् परं ब्रह्म तस्मै श्री गुरवे नमः ॥
Thank you sir

[vihansamvedi]

THE VIDEO IS FREE, WITH SUBTITLES, CHAPTER DIVIDED, FULL HD AND SUCH BRILLIANT TEACHING STYLE, LITERALLY SAVING THE DAY FOR LAKHS OF STUDENTS, THANKS!

[kritikabhateja]

Thanks for the explanation sir. Your videos are really helpful.

In qstn, (D^2 - 2D +3)y = cos 2x, first it should be (D^2 - 2D -3)y = cos 2x.
Second, In PI the denominator should be 17. As - sign will get cancelled from numerator and denominator both.
Let mw know if I am understanding it correct.
Also I will suggest to pin the corrections for other students to understand better.

[swomyabehera]

17: 18; 24: 03; Complex roots will be there.
Nice video sir! Students need teachers like you.

[anuvabsaha]

Why are there no such teachers like you in the colleges??

This video solved my life till now.
Thanks for the Free Tuitorial

[balaram]

The roots of m²-2m+3 are complex roots not -1, 3😊

[simranpandey]

I was suffering with maths in college until i found your channel
This topic is one of the toughest topic to understand in first go. Teachers fail in making students understand this topic and so did my teacher. But honestly sir i watched your video once and understood everything. I am very grateful to you. You are the actual teacher who wants to spread knowledge and not make money.
Thankyou so much sir for making me get my interest back in my favourite subject maths.
And all the best, keep uploading videos we all are supporting you.
Once again Thanks 😊😊😊

[parishaych]

Mera pas wordz nahi ap k tareef k lya....
Ma sha Allah bohtt fit hain ap k lectures
Allah pak apko kamyab kry ameen

[editz_akhil]

Sir aap bhut acha pdate ho but thora Speed ke chakkar me (D^2-2D+3)y = 0 ke roots glt nikl gye hai
Agr wha pr D^2-2D-3 hota tb uske roots -1, 3 aate the 🙏🙏
By the way thanks a lot sir🙏🙏

[mcgwinson]

You are literally our lifeline sir. Thanks a lot for your tremendous effort and self-less compassion for us all students. We owe you a lot of thanks sir.

[rishabhraj]

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[mohitjangid]

sir, In example of sin(ax)/cos(ax) u have taken wrong problem i.e. (D^2-2D+3)y=cos(2x), CF roots are wrong

[anshul_j]

You just covered 3 days of my classes which I missed due to travelling! Thanks a lot sir

[harkeshmourya]

Sir aaj tk mene esa teacher nahi dekha jo aapke jitni aasan language me smjhata h 🖤🙌✨

[needtolisten]

Thank you so much sir for covering this topic, Students like us will never forget how your efforts and hard work help us out when there's no one around us who can guide us and you really make it easy to understand the concepts for us.

[karanrandhir]

roots of auxilary equation at 17:18 will not be be 3 and -1 there will be complex roots

[ayushd]

You taught this better than my "PhD" lecturer at IIIT Gwalior