Check a solution 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.
- 10 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
Is y = e3x a solution of y' = 3y- A) Yes
- B) No
2 Question 2
Is y = x2 + 3 a solution of y' = 2x- A) Yes
- B) No
3 Question 3
Is y = x2 a solution of y' = 2y- A) Yes
- B) No
4 Question 4
Is y = e2x a solution of y' = 3y- A) Yes
- B) No
5 Question 5
Check that y = sin(2x) solves y'' + 4y = 0- A) Yes
- B) No
6 Question 6
Is y = cos(3x) a solution of y'' + 4y = 0- A) Yes
- B) No
7 Question 7
Does y = x3 solve xy' = 3y- A) Yes
- B) No
8 Question 8
Is y = e4x a solution of y'' − 5y' + 6y = 0- A) Yes
- B) No
9 Question 9
Is y = xe2x a solution of y'' − 4y' + 4y = 0- A) Yes
- B) No
10 Question 10
Is y = 3e2x − e3x a solution of y'' − 5y' + 6y = 0- A) Yes
- B) No