initial value
Assume that the following initial value problem f′(t)2 + t = et−1, f(1) = 0.
has a unique solution f(t). Assume also that the solution can be expressed as a power series centred at t = 1
f(t) = a0 +a1(t−1)+a2(t−1)2 +a3(t−1)3 +a4(t−1)4 +... Find the first 2 non-zero terms of this series.
how is this solved?
has a unique solution f(t). Assume also that the solution can be expressed as a power series centred at t = 1
f(t) = a0 +a1(t−1)+a2(t−1)2 +a3(t−1)3 +a4(t−1)4 +... Find the first 2 non-zero terms of this series.
how is this solved?
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