with Solve the equation below using Runge-Kutta method step sizes h = 0.1 over [0,5] interval of independent variable. Do a manual calculation of n = 0 and perform the iterations using Excel software. Plot the x vs. t and compare the curve of RK45 with the curve of true solution.
with Solve the equation below using Runge-Kutta method step sizes h = 0.1 over [0,5] interval of independent variable. Do a manual calculation of n = 0 and perform the iterations using Excel software. Plot the x vs. t and compare the curve of RK45 with the curve of true solution.
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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kindly solve this advance mathematical
pronlem, thank you so much
![[Ordinary Differential Equation- 4th order RK Method] Show manual calculation
of 1st iteration. Provide Excel File.
with
Solve the equation below using Runge-Kutta method
step sizes h = 0.1 over [0,5] interval of independent variable. Do a
manual calculation of n = 0 and perform the iterations using Excel
software. Plot the x vs. t and compare the curve of RK45 with the
curve of true solution.
True solution: x(t) = 3 cos (t) + sin(t) + e-2x sin(3t).
* + 4x + 13x = 40 cos(t)
x(0) = 3; x(0) = 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9ea0df1-d498-4335-a3d3-df4e5e9f8850%2F7f765ebc-b0df-42b4-9e1e-97322efda599%2Fr9l7ms_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[Ordinary Differential Equation- 4th order RK Method] Show manual calculation
of 1st iteration. Provide Excel File.
with
Solve the equation below using Runge-Kutta method
step sizes h = 0.1 over [0,5] interval of independent variable. Do a
manual calculation of n = 0 and perform the iterations using Excel
software. Plot the x vs. t and compare the curve of RK45 with the
curve of true solution.
True solution: x(t) = 3 cos (t) + sin(t) + e-2x sin(3t).
* + 4x + 13x = 40 cos(t)
x(0) = 3; x(0) = 4
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