Use your Runge-Kutta 4th order (RK4) numerical solver to approximate the solution to the following initial value problem: y/ = x – sin(50zy) with y(0) = 0 where x is the independent variable and y is the dependent variable. Use the step size h=.05. Start with the initial condition yo = 0. Select the RK4 approximations that are accurate (there are 3 correct responses out of 5). DA. Y20 = 0.0263525 OB. Y17 = 0.0233364 OC. Y9 = 0.0204099 OD. Y15 = 0.0222698 OE. Y13 = 0.0215111

Use your Runge-Kutta 4th order (RK4) numerical solver to approximate the solution to the following initial value problem: y/ = x – sin(50zy) with y(0) = 0 where x is the independent variable and y is the dependent variable. Use the step size h=.05. Start with the initial condition yo = 0. Select the RK4 approximations that are accurate (there are 3 correct responses out of 5). DA. Y20 = 0.0263525 OB. Y17 = 0.0233364 OC. Y9 = 0.0204099 OD. Y15 = 0.0222698 OE. Y13 = 0.0215111

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Use your Runge-Kutta 4th order (RK4) numerical solver to approximate the solution to the
following initial value problem:
y/ = x – sin(50zy) with y(0) = 0
where x is the independent variable and y is the dependent variable.
Use the step size h=.05. Start with the initial condition yo = 0.
Select the RK4 approximations that are accurate (there are 3 correct responses out of 5).
DA.
Y20 = 0.0263525
OB.
Y17 = 0.0233364
OC.
Y9 = 0.0204099
OD.
Y15 = 0.0222698
OE.
Y13 = 0.0215111

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