- #1
Schfra
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Homework Statement
I need to solve the DE
y’ = x^2y
using the power series method
Homework Equations
y = sum(0->inf)Cnx^n
y’ = sum(1->inf)nCnx^(n-1)
The Attempt at a Solution
I plug in the previous two equations into the DE. What is the general procedure for these problems after that?
I believe I can bring the x^2 into the summation to get
sum(1->inf)nCnx^(n-1) - sum(0->inf)Cnx^(n+2) = 0
I’m not sure what to do after this.