5. Calculus

Euler’s Method — Quiz

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

Practice Questions

Question 1

What is Euler’s method mainly used for?

Question 2

In Euler’s method, what does the step size $h$ represent?

Question 3

Use one Euler step to approximate $y(0.1)$ for the differential equation $\frac{dy}{dx}=x+y$ with initial condition $y(0)=1$ and step size $h=0.1$.

Question 4

Use one Euler step to approximate $y(1.5)$ for the differential equation $\frac{dy}{dx}=2x$ with initial condition $y(1)=3$ and step size $h=0.5$.

Question 5

What is the usual effect of choosing a smaller step size $h$ in Euler’s method?