I think most of the people look these videos on youtube just purpose of recalling the classes in school but in your videos we are learning so thank you sir.
This is a wonderful explanation. My professor for diff eq is great but he didn't thoroughly explain this. Had I watched this video two weeks ago before my exam I probably would've got a 100 but I was happy with a 90. Thank You!
Even looking in my textbook it just seems like they expect you to know what these are already and just wanted someone to explain, even my for dummies book didn't explain it. Thank you! Do you have a video on how to find s in t^s, I'm running into the same issue right now.
Thanks a lot!!! But one thing, Can you please explain this, 1)if y"+y=3sin(2t)+t cos(2t); and Yc=C1cosx+C2sinx , then Yp= ??? I'm really very confused about this problem.
The yp in your example, would have to contain sin(2*t), cos(2*t), t*sin(2*t), and t*cos(2*t). Since the diffEQ can shift the phase and amplitude, you always set up a cosine to go with your sine, and vice versa, for every new frequency you have, and for every t-power out in front you have. If it contained t^2*sin(2*t), and even if it didn't have t*sin(2*t) or its cosine counterpart, you'd still have to build the power to 2, and include t*sin(2*t) and t*cos(2*t) in your prototype for your particular solution. If you have overlap with any terms from your complimentary solution, you get a resonance between the terms, that introduces the terms with a t out in front. So the particular solution would be: yp = A*cos(2*t) + B*sin(2*t) + C*t*cos(2*t) + D*t*sin(t)
I think most of the people look these videos on youtube just purpose of recalling the classes in school but in your videos we are learning so thank you sir.
thanks man!!
The clearest explanation I've seen on this topic.
the besr
This is a wonderful explanation. My professor for diff eq is great but he didn't thoroughly explain this. Had I watched this video two weeks ago before my exam I probably would've got a 100 but I was happy with a 90. Thank You!
Your ODE videos are carrying me through the course, GREAT WORK!!
engr 213?
Thank you! This video was straightforward and to the point . Taught me everything I needed to know for this topic!
Got stuck on this for multiple of days , thank you so much
The bestest lecture ever on this topic... 💕
I was watching so many video to understand it and found this......thank you!!!!
by "repetition," he meant that the initial guess has similar term/s with the y_c. hope this helps hehe
Thank you so much this was my only block for truly understanding this subject
I never comment on TH-cam videos but I have a diff eq final tomorrow and this was super helpful!😅
just saved my life thank you so much
Great video! Will help me for my exam on the topic next week :)
Thank you, sir!! I was looking for a way for this so bad thanks❤
Great teacher❤
Big thanks to you, it has been really hard to find the video on this topic.
Thanks , you help me a lot
lifesaver! thank you
Okay, I will check will be video be my life saver.
No, it isn't. Thanks anyway
It actually works! I was braindead!
What do you mean by repeating sir?
You are the goat
Even looking in my textbook it just seems like they expect you to know what these are already and just wanted someone to explain, even my for dummies book didn't explain it. Thank you!
Do you have a video on how to find s in t^s, I'm running into the same issue right now.
What is that which is repeatating?
I'm confused on this as well, he never explained what he means by repeating
Can you explain what does the "repitition" that you keep mentioning throughout the video?
What about xSinx as R.H.S ..... what will bw yp then?
For the last question, shouldn't we multiply the whole equation by x^2 since there r two repeats?
Just x is needed. The repetition was due to the cosx and sinx terms so multiplying everything by x got rid of the cosx and sinx terms in yp
Thanks a lot!!! But one thing, Can you please explain this,
1)if y"+y=3sin(2t)+t cos(2t); and Yc=C1cosx+C2sinx , then Yp= ???
I'm really very confused about this problem.
I'm not sure but ig it should be,
Asin2t + Bcos2t +(Ct+D)cos2t + (Et+F)Sin2t
The yp in your example, would have to contain sin(2*t), cos(2*t), t*sin(2*t), and t*cos(2*t). Since the diffEQ can shift the phase and amplitude, you always set up a cosine to go with your sine, and vice versa, for every new frequency you have, and for every t-power out in front you have. If it contained t^2*sin(2*t), and even if it didn't have t*sin(2*t) or its cosine counterpart, you'd still have to build the power to 2, and include t*sin(2*t) and t*cos(2*t) in your prototype for your particular solution.
If you have overlap with any terms from your complimentary solution, you get a resonance between the terms, that introduces the terms with a t out in front.
So the particular solution would be:
yp = A*cos(2*t) + B*sin(2*t) + C*t*cos(2*t) + D*t*sin(t)
What will be the y_p if right hand side of g(x)= (e^x)/x
what do you mean by repetition you confused me more than i was before
❤❤🇩🇿🇩🇿🇩🇿🇩🇿