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Numerical and Engineering Analysis - 3rd Stage M. Sc. Dina Sami h.w1: solve the following differential equation numerically using Runge-Kutta Method (4th order). Find y (0.5) when y' =2 x + y, y (0) = 1. Take h = 0.5

Numerical and Engineering Analysis - 3rd Stage M. Sc. Dina Sami h.w1: solve the following differential equation numerically using Runge-Kutta Method (4th order). Find y (0.5) when y' =2 x + y, y (0) = 1. Take h = 0.5

Advanced Engineering Mathematics
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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Numerical and Engineering Analysis – 3rd Stage M. Sc. Dina Sami h.w1: solve the following differential equation numerically using Runge-Kutta Method (4th order). Find y (0.5) when y' = 2 x + y, y (0) = 1. Take h = 0.5 H.w 2: The open loop response, that is, the speed of the motor to a voltage input of 20V, assuming a system without damping is dw + (0.06)w. dt 20 = (0.02)- If the initial speed is zero (w(0)=0) ,and using the Runge-Kutta 4th order method, what is the speed at t = 0.8s? Assume a step size of h 0.4s. %3D H.w 3: Use Runge-Kutta Method to find the solution of the system at (x = 0.1) taking (h = 0.1) %3D dy =y-z , y (0) = 0 dx dz -y +z , z (0) = dx
Transcribed Image Text:Numerical and Engineering Analysis – 3rd Stage M. Sc. Dina Sami h.w1: solve the following differential equation numerically using Runge-Kutta Method (4th order). Find y (0.5) when y' = 2 x + y, y (0) = 1. Take h = 0.5 H.w 2: The open loop response, that is, the speed of the motor to a voltage input of 20V, assuming a system without damping is dw + (0.06)w. dt 20 = (0.02)- If the initial speed is zero (w(0)=0) ,and using the Runge-Kutta 4th order method, what is the speed at t = 0.8s? Assume a step size of h 0.4s. %3D H.w 3: Use Runge-Kutta Method to find the solution of the system at (x = 0.1) taking (h = 0.1) %3D dy =y-z , y (0) = 0 dx dz -y +z , z (0) = dx
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