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.
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
Find the first four nonzero terms in a power series expansion
about x 0 for a general solution to the given differential equation
with the given value for x0=2.
(4x^2)y''-3y'+5y=0
Find at least the first four nonzero terms of the power series
expansion around x = 0 for the general solution of the differential
equation y"+ x²y'- xy = 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
y'-2xy=0 , x0=-4
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