(D^2-1)y=Cosx
Автор: Maths Pulse - Chinnaiah Kalpana
Загружено: 2022-11-03
Просмотров: 3358
Описание:
#higherorderlineardifferentialequation #mathspulse #chinnaiahkalpana
Hello, People!
Here is the video of solving higher order linear differential equation problem, whose Q is in Sinax or Cosax form.
Please have some patience and watch till end😊.
My hearty thanks to all the subscribers, viewers, supporters and well-wishers❤
With Love,
Chinnaiah Kalpana🍁
Note:
f(x)= Sinax or Cosax
If f(x)=Sinax or Cosax,
then Particular Integral is given by
P.I. = [1/Φ(D)]Sinax (or) Cosax.
In Φ(D) replace D^2 by -(a^2), provided Φ(D)≠0.
If Φ(D)=0, when we replace D^2 by -(a^2), then
P.I. = x[1/Φ'(D)]Sinax (or) Cosax.
Again replace D^2 by -(a^2) in Φ'(D) provided Φ'(D)≠0,
then
P.I.=x^2[1/Φ"(D)]Sinax (or) Cosax.
This process may be repeated if Φ"(D)=0 and so on.
For more such videos👇
• Higher Order Linear Differential Equations
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