Euler's method

The  exercise appears under the Differential equations Math Mission. This exercise shows how to use numerical methods to approximate a solution to a differential equation.

Types of Problems
There are five types of problems in this exercise:
 * 1)  Given all values of f, estimate f(a): '' The student is asked to estimate the value of f(a) using the table of derivatives, the step-size, and the point.Euler's method(1).png
 * 2) Get from a to b in n equal steps: The student is asked to estimate the value of f(a) using the solution to the differential equation and initial condition.
 * 3) Solve for initial condition: The student is asked to find the value of k using the differential equation, the solution to the differential equation, initial condition, and step-size.
 * 4) Fill in the blanks in the Euler table below: The student is asked to fill in the blanks of the Euler table using the initial value problem, initial condition, and step-size.

Strategies
Knowledge of derivatives, implicit differentiation, differential equations, and Euler's method are encouraged to ensure success on this exercise.