Use an appropriate analytic method to solve the IVP. x' = 4 x(0) = -1 4 +x x(t) = Use your own numerical equation solver with At = 0.001 to solve the problem at t = 8. (Round your answer to six decimal places.) x(8) × Compare the value of the numerical solution at t = 8 with the analytic solution at t = 8. x(8) =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use an appropriate analytic method to solve the IVP.
x' =
4
x(0) = -1
4 +x
x(t) =
Use your own numerical equation solver with At = 0.001 to solve the problem at t = 8. (Round your answer to six decimal places.)
x(8) ×
Compare the value of the numerical solution at t = 8 with the analytic solution at t = 8.
x(8) =
Transcribed Image Text:Use an appropriate analytic method to solve the IVP. x' = 4 x(0) = -1 4 +x x(t) = Use your own numerical equation solver with At = 0.001 to solve the problem at t = 8. (Round your answer to six decimal places.) x(8) × Compare the value of the numerical solution at t = 8 with the analytic solution at t = 8. x(8) =
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