Use Euler’s Method to sketch an approximation of
over . Use .
Show all steps and carefully record the coordinate points at
, , , and .
Use implicit integration to solve the differential equation.
to help you find the value of after you integrate.
Compare your answers to parts (a) and (b). Determine the largest difference between the actual
-value and the Euler’s Method -value for , , , , and . This largest difference estimates the error of Euler’s Method. If instead, do you think this error will be larger or smaller?