Predict the form of the solution (study limits) and find all of
the solutions using the Frobenius method approach. Write indicial
equation, find its roots, the recurrence relation, and the first
four terms terms of each series solution for xy"+y'+x^2y=0
Show that he gcd of 63 and 40 is 1 and find all integer
solutions: 63s + 40t = 1. Use the Euclidean algorithm to find the
gcd. Then back solve to find s and t.
To get full credit, use the format shown in the post below
titled Bezout's Theorem. (See the example where we find the gcd of
18 and 5.)
Bézout's theorem says
"If d is the gcd of
m and n then we can find integers
s...
Use Newton's method to find all solutions of the equation
correct to eight decimal places. Start by drawing a graph to find
initial approximations. (Enter your answers as a comma-separated
list.)
6e−x2 sin(x) = x2 − x + 1
Use Newton's method to find all solutions of the equation
correct to eight decimal places. Start by drawing a graph to find
initial approximations. (Enter your answers as a comma-separated
list.)
−2x7 − 4x4 + 8x3 + 6 = 0