Subject is differential equations.
Find the first four nonzero terms in a power series expansion
about x=0 for a general solution to the given differential
equations.
a) y' + (x+5)y = 0
b) y'' + (x+5)y' + y = 0
c) y'' + 4xy' - y = 0; y(0) = 8, y'(0) = 0
d) y'' + (x-6)y' - y = 0; y(0) = -5, y'(0) = 0
Please show work! Thank you
Power series
Find the particular solution of the differential equation:
(x^2+1)y"+xy'-4y=0 given the boundary conditions x=0, y=1 and y'=1.
Use only the 7th degree term of the solution. Solve for y at x=2.
Write your answer in whole number.