Find the first four nonzero terms in a power series expansion of
the solution to the given initial value problem.
3y"-2e6xy'+4(cosx)y=0; y(0)=1, y'(0)=1
Type an expression that includes all terms up to order 3.
use the definition of the Taylor series to find the first four
nonzero terms of the series for f(x) centered at x = a
a) f(x) = xe^x, a = 0
b) f(x) = sin (x), a = π/6
Use the definition of Taylor series to find the first three
nonzero terms of the Taylor series (centered at c) for the
function f.
f(x) = 7 tan x, c = 9π
2. Do the Maclaurin series expansion of 1 √(1−?) out to 3
terms
3. Find the Taylor series for the two functions:
i. ?(?) = ? −6? about ? = −4
ii. ?(?) = 7 ? 4 about ? = −3
Find the first four nonzero terms in a power series expansion
about x = 0 for a general solution to the given differential
equation
(x2 + 7)y'' + y = 0
Find the first four nonzero terms in a power series expansion
about x = 0 for a general solution to the given differential
equation
w'' - 6x2 w' + w = 0
Find the first four nonzero terms in a power series expansion
about x0 for a general solution to the given differential equation
with the given value for x0.
(x^2-8x)y''+5y=0, x0=4