SKEDSOFT

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

Now,

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.