Lesson Worksheet: Euler’s Method Mathematics • Higher Education

In this worksheet, we will practice using Euler’s method to approximate solutions to differential equations.

Q1:

Consider the initial value problem , .

Use Eulerβs method with steps on the interval to find .

Q2:

Consider the initial value problem , .

Use Eulerβs method with steps on the interval to find . Round your answer to 5 decimal places.

Q3:

Consider the initial value problem , .

Use Eulerβs method with steps on the interval to find .

Q4:

Consider the initial value problem , .

Use Eulerβs method with steps on the interval to find .

Q5:

Consider the initial value problem , .

Use Eulerβs method with steps on the interval to find .

Q6:

Consider the initial value problem , .

Use Eulerβs method with steps on the interval to find the value of .

Q7:

Consider the initial value problem , .

Use Eulerβs method with steps on the interval to find the value of .

Q8:

Consider the initial value problem , .

Use Eulerβs method with steps in the interval to find . Round your answer to 5 decimal places.

Q9:

Consider the initial value problem , .

Use Eulerβs method with steps in the interval to find . Round your answer to 5 decimal places.

Q10:

Consider the initial value problem , .

Use Eulerβs method with steps on the interval to find the value of .

This lesson includes 5 additional questions and 45 additional question variations for subscribers.