(D^2+4D-12)y=(x-1)e^2x
Автор: Maths Pulse - Chinnaiah Kalpana
Загружено: 2023-02-08
Просмотров: 7473
Hello, People!
Here is a video of solving a differential equation problem from higher order linear differential equation. Please observe every step to learn better.
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Chinnaiah Kalpana 🌞
Note:
If Q(x)= e^ax v (or) e^ax.g(x),
where g(x) or v may be x^m or Sinbx or Cosbx
P.I = [1/f(D)]e^ax g(x) = e^ax . [1/f(D+a)] g(x)
The effect of taking the exponential function e^ax outside of the operator shifts the operator D to D+a.
This process is called the exponential shift.
Now [1/f(D+a)] g(x) can be evaluated by using the methods in the types e^ax or cosax or sinax or x^m depending upon the types of the function.
For more such videos 👇
• Higher Order Linear Differential Equations
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