Determine the total solution of the following difference equation: y(n)= 5y(n)-6y(n-2)+x(n) when the forcing function , x(n)= 3^n and initial condition , y(-1)=2 & y(-2)=4. Also, draw the difference equation using building blocks. sir answer please
take lcm of of LHS and multiple the brackets u will get z+z^2-2z that is equal to z^2-z now take z as common from the term and it will goes to RHS as Y(z)/z i hope it will works for u 😀
This method is applicable for initial value problems. If initial conditions are not given [ y(0) and y(1) ], then we can assume some k1 and k2. And then we get ans in terms of k1 and k2.
Dr. Abhishek is very knowledgeable and great in teaching. His teaching skills are well known from his PhD days at IITM
Thanks Sriram
Determine the total solution of the following difference equation:
y(n)= 5y(n)-6y(n-2)+x(n)
when the forcing function , x(n)= 3^n and initial condition , y(-1)=2 & y(-2)=4.
Also, draw the difference equation using building blocks. sir answer please
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i think sir z[n^3]=(z^3+4z^2+z)/(z-1)^4. Plz review the solution once more. Thank You
Sir at 5.02 min how did z^2-z came ? Plz tell ?
how did we evaluated 1/(x-1)power 4 using partial fraction?
How did you take z/(z-2)
It should be 2/(2-z) ... Z transform of 2^n u(n) ??? In first question.... Please reply
Dear Yash, Z transform ofa^n will be z/(z-a)
Y n + 2 =2Y n+1 +Y n =2^ n with yo=2,y1=1, how it is solve sir...
Hi sir, how do this calculate on 5:11
Y(z)((z+1)(z+3))=z/z-2+z
Y(z)=z^2-z/(z-2)(z+1)(z+3)
how the numerator become z^2-z ?
take lcm of of LHS and multiple the brackets u will get
z+z^2-2z
that is equal to z^2-z now take z as common from the term and it will goes to RHS as Y(z)/z
i hope it will works for u 😀
Thank you ❤️🔥
Sir what if y(0) n y(1) are not given
This method is applicable for initial value problems. If initial conditions are not given [ y(0) and y(1) ], then we can assume some k1 and k2. And then we get ans in terms of k1 and k2.
Thank you suraj for watching.
Keep watching !!!
Very well explained sir thank you
your way of teaching is good but plz improve your pronunciation of 'zero 'and 'z'
question 2 m partial fraction kaise kea hai nahi smjh m aaya
Sir I clarified from all the doubts but I don't get thee.. last step... Plss in the first prblm...🙃
Dear Rakesh, you meant inverse Z Transform in the 1st problem
At 17:05 in the last line how we get 5z²-4z, we should get 5z²-2z
yes
Thanks
y(k+2) + 2 y(k+1) + y(k) = k,
y(0) = y(1) = 0
Sir I have problem in this question please u help me.
Great work
Thank you so much 😀
Nice video sir
Great
Thanks
👌🏻👌🏻
Manmadaraja song played well sir
Who heard “Suntaragaali” song? 16:06
Anyways nice explanations thanks
Thanks a lot sir
Most welcome
Great sir...
Thanks Pramod
Giro d'italia?
YES
OF COURSE
17:32
??
Improve handwriting please.... Its hard to get what you want to teaching....
Improve spelling please.... It's hard to get what you when you speak bad English
Lol 😂
Improve your English grammer please.... It's hard to get what you want to say..... 🌚
to teach✅..... (to teaching) cross❌
@@ketangaming7987grammar* improve your spelling homie