Casio ClassPad II Custom Commands

emeth(d, a, b, h, i)

• d is an expression in terms of x and y for the derivative
• a is the x-value of the starting point
• b is the y-value of the starting point
• h is the step size
• i is the number of iterations

Applies Euler’s method to approximate a solution to the ordinary differential equation \(\frac{ d y }{ d x } = d\) for i iterations. Returns a matrix with the details of each iteration.

Example

Find the \(y\)-value at \(x = 1.2\) estimated by the bisection method, with a step size of \(0.1\), if \(\frac{ d y }{ d x } = y \sin(x)\) and \(y(x=1) = 2\). (2021 Specialist Exam 2 Section A Question 8)

Contributed by Pat