12. Numerical and Qualitative Methods

Euler’s Method — Quiz

Test your understanding of euler’s method with 5 practice questions.

Practice Questions

Question 1

What is Euler's method primarily used for?

Question 2

For the differential equation $\frac{dy}{dx}=x+y$ with initial value $y(0)=1$ and step size $h=0.1$, what is the first Euler approximation $y_1$?

Question 3

In Euler's method, the slope used on each step comes from what?

Question 4

For the differential equation $\frac{dy}{dx}=2x$ with $y(0)=3$ and step size $h=2$, what is the next Euler approximation after $x=0$?

Question 5

If the step size $h$ is made smaller in Euler's method, what usually happens to the approximation?