Consider the following first order ordinary differential equation (ODE): dy xy = x - dx 2 from x=1 to x=3.4 with y(1)=1 a. Solve with Euler's method using h=0.8 b. Solve with fourth-order Runge-Kuta...


Consider the following first order ordinary differential equation (ODE):<br>dy<br>xy<br>= x -<br>dx<br>2<br>from x=1 to x=3.4 with y(1)=1<br>a. Solve with Euler's method using h=0.8<br>b. Solve with fourth-order Runge-Kuta method using h=0.8<br>1-x2<br>The analytical solution of the ODE is y = 2 – e 4<br>In each part, calculate the error between the analytical and the numerical solution<br>at the points where the numerical solution is determined.<br>

Extracted text: Consider the following first order ordinary differential equation (ODE): dy xy = x - dx 2 from x=1 to x=3.4 with y(1)=1 a. Solve with Euler's method using h=0.8 b. Solve with fourth-order Runge-Kuta method using h=0.8 1-x2 The analytical solution of the ODE is y = 2 – e 4 In each part, calculate the error between the analytical and the numerical solution at the points where the numerical solution is determined.

Jun 05, 2022
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