# 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 Eulerβs method with steps on the interval to find . Round your answer to 5 decimal places.

**Q2: **

Consider the initial value problem , .

Use Eulerβs method with steps on the interval to find .

**Q3: **

Consider the initial value problem , .

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

**Q5: **

Consider the initial value problem , .

Use Eulerβs method with steps on the interval to find the value of .

**Q7: **

Consider the initial value problem , .

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

**Q8: **

Consider the initial value problem , .

Use Eulerβs method with steps on the interval to find .

**Q10: **

Consider the initial value problem , .

Use Eulerβs method with steps on the interval to find the value of .

**Q11: **

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

**Q12: **

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

**Q13: **

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

**Q14: **

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

**Q15: **

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