 |
|---|
SELECT PAGE NO.
No Books/Pages Are Available |
SELECT PROBLEM NO. FOR THE PAGE |
| PAGE: 1192 | SET: Exercises | PROBLEM: 3 |
The differential equation is 
.
Assume there is a solution of the power series form 
Determine the derivative of the above solution function with respect to 
.
Substitute 
in .
Change 
to 
in sigma notation
The above expression is zero when 
and coefficient of 
is zero.
This will result 
, 
and 
is a recursive relation.
Find coefficients for some values of 
.
| value |
 |
|
 |
 |
 |
 |
 |
 |
 |
 |
 |
Substitute above values in 
From the above expression 3 multiples of coefficients only remained
we can write 
.
Rewrite the sum as 
.
Maclaurin series is 
.
write the sum in the exponential form
Solution of the differential equation is 
.
|
"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett |
|
"Your site is amazing! It helped me get through Algebra." Charles |
|
"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease |
Simply chose a support option
  
|