If use Taylor's method of order three to approximate an initial value problem with f(t, y) = et-y, we need h h² T(3³) (t,y) = f(t,y) + ½ f'(t,y) + / ƒ"(t, y), 3! Write out the explicit expression of T(³) (t, y) (no ƒ, ƒ', or f" appears in the expression, should only involve t, h and y). (Do not carry out the actual calculations)
If use Taylor's method of order three to approximate an initial value problem with f(t, y) = et-y, we need h h² T(3³) (t,y) = f(t,y) + ½ f'(t,y) + / ƒ"(t, y), 3! Write out the explicit expression of T(³) (t, y) (no ƒ, ƒ', or f" appears in the expression, should only involve t, h and y). (Do not carry out the actual calculations)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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