Problems on Method of Undetermined Coefficients
Problems on Method of Undetermined Coefficients:
3. Solve using the method of undetermined method:
y'' - 5y' 6y = sin 2x.
Solution: we have (D2 - 5D 6)y = sin 2x
A.E is m2 - 5m 6 = 0
(m-2) (m-3) = 0
∴ m = 2,3
We assume for the P.I in the form
We have to find 'a' and 'b' such that
Comparing the coefficient we get:
Solving we get;
From the above equations:
4. Solve by the method of undetermined coefficient:
y'' y' - 2y = x sinx
Solution: We can solve this equation with the help of above metod.