SITUATION 2 Consider the following second-order ODE: d x - (1 – x²) 4 +x = 0, t = [0, ], a (t = 0) = (t = 0) = 1 dt2 Determine y(x) at the given domain x through a program using: (a) Euler's method...


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SITUATION 2<br>Consider the following second-order ODE:<br>d x<br>- (1 – x²) 4 +x = 0,<br>t = [0, ], a (t = 0) = (t = 0) = 1<br>dt2<br>Determine y(x) at the given domain x through a program using:<br>(a) Euler's method with step size h = 0.1<br>(b) classical RK4 procedure with step size h = 0.1<br>Graph the solutions for each method used using MS Excel.<br>

Extracted text: SITUATION 2 Consider the following second-order ODE: d x - (1 – x²) 4 +x = 0, t = [0, ], a (t = 0) = (t = 0) = 1 dt2 Determine y(x) at the given domain x through a program using: (a) Euler's method with step size h = 0.1 (b) classical RK4 procedure with step size h = 0.1 Graph the solutions for each method used using MS Excel.

Jun 09, 2022
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