Numerical Methods 1. Taylor Series methods (of order greater than one) for ordin
ID: 3198296 • Letter: N
Question
Numerical Methods
1. Taylor Series methods (of order greater than one) for ordinary differential equations require that: a. the solution is oscillatory c. each segment is a polynomial of degree three or lessd. the second derivative i b. the higher derivatives be available is oscillatory 2. An autonomous ordinary differential equation is one in which the derivative depends aan neither t nor x g only on t ?. on both t and x d. only onx . A nonlinear two-point boundary value problem has: a. a nonlinear differential equation C. both a) and b) b. a nonlinear boundary condition d. any one of the preceding (a, b, or c)Explanation / Answer
(1)Taylor series methods (of order greater than one) for ordinary differential equations require that:
(d) The second derivative is oscillatory
(2) An autonomous ordinary differential equation is one which the derivative depends:
(b) on both t and x
3) A nonlinear two-point boundary value problem has:
(c) both a) and b)
That is both a nonlinear differential equation and a nonlinear boundary condition.
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