# 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.

- A 3.95454
- B 3.41589
- C 5.53501
- D 4.64696
- E 6.67480

**Q4: **

Consider the initial value problem , .

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

- A 1.4213
- B 0.8832
- C 1.1533
- D 0.3200
- E 0.6080

**Q5: **

Consider the initial value problem , .

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

- A 0.09331
- B 0.05599
- C 0.15552
- D 0.43200
- E 0.25920

**Q6: **

Consider the initial value problem , .

Use Eulerβs method with steps on the interval to find .

**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 .

**Q9: **

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 .