Solve by using power series: 2 y'−y = sinh( x). Find the
recurrence relation and compute the first 6 coefficients (a0-a5).
Use the methods of chapter 3 to solve the differential equation and
show your chapter 8 solution is equivalent to your chapter 3
solution.
1)Find the power series solution for the equation y'' − y =
x
2)Find the power series solution for the equation y'' + (sinx)y
= x; y(0) = 0; y'(0) = 1
Provide the recurrence relation for the coefficients and derive
at least 3 non-zero terms of the solution.
using power series of 1/(1-x),
a) derive the power series for 1/(9+x^2) and determine the
radius of convergence of this power series
b) use the result from (a) to derive the power series for
tan^-1(x) and state the radius of convergence of this power
series