Which of the following power series must be used as the nonhomogeneous part for the given initial value
problem
y^('')-y^(')+3y=(1)/(7+x)
y(-2)=-1 and y^(')(-2)=0
in order to obtain the solution by power series solution method?
A) sum_(n=0)^(infty ) ((-1)^(n)(x-2)^(n))/(5^(n+1))
B) sum_(n=0)^(infty ) ((-1)^(n)(x-2)^(n))/((n+1)5^(n))
C) sum_(n=0)^(infty ) ((-1)^(n)(x+2)^(n))/(5^(n+1))
D) sum_(n=0)^(infty ) ((-1)^(n)(x+2)^(n))/(5^(n))
E) sum_(n=0)^(infty ) ((-1)^(n)x^(n))/(5^(n))
2. Which of the following power series must be used as the nonhomogeneous part for the given initial value problem
y(-2)=-1 and y'(-2)=0
in order to obtain the solution by power series solution method?
(-1)(x-2)n A) n=0 5n+1
B)
(n+15n
(-1)(x+2)n 5n+1
C)
(-1(x+2n 5n
D)
E)
(-1)"xn 5n