Consider the differential equation:
The initial condition is y(0) = 1. Construct the Maclaurin series for y(x).
I know I'm supposed to differentiate it, but I don't remember how to use the initial condition to start me off...
Consider the differential equation:
The initial condition is y(0) = 1. Construct the Maclaurin series for y(x).
I know I'm supposed to differentiate it, but I don't remember how to use the initial condition to start me off...
The McLaurin series for y is...
(1)
... so that...
(2)
The 'initial condition' extablishes that . If now write the DE in terms of (1) and (2) we obtain...
(3)
.. so that is...
(4)
Kind regards