4. Taylor method of order three is given by Yi+1 = Y; +hT(³) (t₁, Y;), where T(³) (t₁, Y;) = f (t¡‚ Yi) + h h² (ti, Yi) + / / f '(t₁, Y) + h ¯¯ ƒ' 3! f " (ti, Yi) Write out this method's formula when it is applied to the IVP: y' = -y + sin t. (The formula expression should have no f, f', or f", it should only involves t, h and y. Do not carry out the actual calculations)
4. Taylor method of order three is given by Yi+1 = Y; +hT(³) (t₁, Y;), where T(³) (t₁, Y;) = f (t¡‚ Yi) + h h² (ti, Yi) + / / f '(t₁, Y) + h ¯¯ ƒ' 3! f " (ti, Yi) Write out this method's formula when it is applied to the IVP: y' = -y + sin t. (The formula expression should have no f, f', or f", it should only involves 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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