Euler's method Quiz
10 questions · easy to harder · Differential Equations · score and step-by-step answers
How it works
- 10 questions, about 30 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 5 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Use Euler's method on dy/dx = x + y, y(0) = 1, step 0.1, to find y(0.3)- A) y(0.3) ≈ 1
- B) y(0.3) ≈ 1.2
- C) y(0.3) ≈ 3
- D) y(0.3) ≈ 1.362
2 Question 2
Use Euler's method on dy/dx = x, y(0) = 2, step 0.5, to find y(1)Type the answer.
3 Question 3
Use Euler's method on dy/dx = −y, y(0) = 4, step 0.5, to find y(1)- A) y(1) ≈ 1
- B) y(1) ≈ −4
- C) y(1) ≈ 2
- D) y(1) ≈ −1
4 Question 4
Use Euler's method on dy/dx = y − x, y(0) = 2, step 0.1, to find y(0.3)Type the answer.
5 Question 5
Use Euler's method on dy/dx = x + 2y, y(0) = 1, step 0.1, to find y(0.3)- A) y(0.3) ≈ 2.5
- B) y(0.3) ≈ 1.76
- C) y(0.3) ≈ 3
- D) y(0.3) ≈ 2
6 Question 6
Use Euler's method on dy/dx = x2 + y, y(0) = 1, step 0.5, to find y(1)Type the answer.
7 Question 7
Use Euler's method on dy/dx = y2, y(0) = 1, step 0.1, to find y(0.3)- A) y(0.3) ≈ 1
- B) y(0.3) ≈ 3
- C) y(0.3) ≈ 1.3701
- D) y(0.3) ≈ 1.21
8 Question 8
Use Euler's method on dy/dx = x − 2y, y(1) = 0, step 0.5, to find y(3)Type the answer.
9 Question 9
Use Euler's method on dy/dx = 2xy, y(0) = 1, step 0.25, to find y(1)- A) y(1) ≈ 1
- B) y(1) ≈ 4
- C) y(1) ≈ 1.9337
- D) y(1) ≈ 0.5
10 Question 10
Use Euler's method on dy/dx = 3x − y, y(0) = 2, step 0.5, to find y(2)Type the answer.