# Worksheet: Euler’s Method

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

Q1:

Consider the initial value problem , .

Use Euler’s method with steps on the interval to find . Round your answer to 5 decimal places.

Q2:

Consider the initial value problem , .

Use Euler’s method with steps on the interval to find .

Q3:

Consider the initial value problem , .

Use Euler’s method with steps in the interval to find . Round your answer to 5 decimal places.

Q4:

Consider the initial value problem , .

Use Euler’s method with steps on the interval to find the value of .

Q5:

Consider the initial value problem , .

Use Euler’s method with steps on the interval to find the value of .

Q6:

Consider the initial value problem , .

Use Euler’s method with steps on the interval to find .

Q7:

Consider the initial value problem , .

Use Euler’s method with steps in the interval to find . Round your answer to 5 decimal places.

Q8:

Consider the initial value problem , .

Use Euler’s method with steps on the interval to find .

Q9:

Consider the initial value problem , .

Use Euler’s method with steps on the interval to find .

Q10:

Consider the initial value problem , .

Use Euler’s method with steps on the interval to find the value of .

Q11:

Consider the initial value problem , . Use Euler’s method with 9 steps to estimate the value of to three decimal places.

Q12:

Consider the initial value problem , . Use Euler’s method with 10 steps to estimate the value of to three decimal places.

Q13:

Consider the initial value problem , where . Use Euler’s method with 6 steps to estimate the value of to two decimal places.

Q14:

Consider the initial value problem , where . Use Euler’s method with 10 steps to estimate the value of to three significant figures.

Q15:

Consider the initial value problem , where . Use Euler’s method with 4 steps to estimate the value of to four significant figures.