Ordinary differential equations order and degree - One Line Questions
1.
What is the order of the differential equation dy/dx + y = x? —
1
2.
What is the degree of the differential equation dy/dx = sin(x)? —
1
3.
The degree of the differential equation dy/dx + y = x dy/dx is: —
0
4.
The order of the differential equation (dy/dx)^2 + y = x is: —
1
5.
The degree of the differential equation dy/dx = y is: —
0
6.
The order of the differential equation sin(x) dx + cos(y) dy = 0 is: —
0
7.
What is the degree of the differential equation y = x(dy/dx) + (dy/dx)^2? —
1
8.
Determine the degree of the differential equation dy/dx = x. —
0
9.
The degree of the differential equation (dy/dx) + y = x is: —
0
10.
What is the order of the differential equation dy/dx = sqrt(y)? —
1
11.
What is the order of the differential equation dy/dx = y/x? —
1
12.
Determine the degree of the differential equation x(dy/dx) + y = x^2. —
0
13.
What is the degree of the differential equation dy/dx + y^2 = x? —
0
14.
What is the order of the differential equation dy/dx = cos(x)? —
1
15.
Determine the degree of the differential equation (dy/dx)^2 + x(dy/dx) + y = 0. —
1
16.
What is the degree of the differential equation x(dy/dx) + y = x? —
0
17.
Determine the degree of the differential equation dy/dx = y. —
0
18.
Determine the degree of the differential equation d^2y/dx^2 + (dy/dx)^2 = x^2. —
2
19.
The order of the differential equation (d^3y/dx^3)^2 + (d^2y/dx^2)^3 + dy/dx + y = 0 is: —
3
20.
Find the order of the differential equation y'' + 5y' - 6y = 0. —
2
21.
The degree of the differential equation (dy/dx)^3 + dy/dx - x = 0 is: —
3
22.
What is the order of the differential equation d^4y/dx^4 = cos(x)? —
4
23.
Determine the degree of the differential equation sqrt(1 + (dy/dx)^2) = a(d^2y/dx^2). —
2
24.
The differential equation xy'' + y' + y = x^2 has an order of: —
2
25.
What is the degree of the differential equation (d^2y/dx^2)^1/2 + dy/dx = 0? —
2
26.
Find the order of the differential equation x(d^2y/dx^2) + x^2(dy/dx) + y = 0. —
2
27.
What is the order of the differential equation d^3y/dx^3 + 2(d^2y/dx^2) + dy/dx = e^x? —
3
28.
Determine the degree of the differential equation d^2y/dx^2 + dy/dx + sin(y) = 0. —
2
29.
What is the degree of the differential equation d^2y/dx^2 = y + (dy/dx)^2? —
2
30.
Find the order of the differential equation y'' = (1 + (y')^2)^(3/2). —
2
31.
What is the order of the differential equation d^5y/dx^5 + y = 0? —
5
32.
Determine the degree of the differential equation (d^2y/dx^2)^2 = dy/dx - 1. —
2
33.
Find the order of the differential equation d^2y/dx^2 + x(dy/dx) + y = sin(x). —
2
34.
The degree of the differential equation (d^3y/dx^3) + (dy/dx)^2 = 0 is: —
1
35.
What is the order of the differential equation (dy/dx)^3 = x^2 + y? —
2
36.
The order of the differential equation d^2y/dx^2 + 2(dy/dx)^2 + y = 0 is: —
2
37.
What is the degree of the differential equation (d^3y/dx^3)^2 + (d^2y/dx^2) + dy/dx = 0? —
2
38.
Find the order of the differential equation y'' + y' = x. —
2
39.
Determine the degree of the differential equation d^2y/dx^2 + (dy/dx)^3 = x. —
2
40.
The order of the differential equation d^4y/dx^4 + y = 0 is: —
4
41.
What is the degree of the differential equation d^3y/dx^3 = (dy/dx)^2? —
1
42.
Find the order of the differential equation y''' + y'' + y' + y = 0. —
3
43.
The degree of the differential equation (d^2y/dx^2)^1/2 = dy/dx is: —
2
44.
The order of the differential equation d^2y/dx^2 + 5(dy/dx) = 0 is: —
2
45.
Find the order of the differential equation d^3y/dx^3 = x + dy/dx. —
3
46.
The degree of the differential equation (d^2y/dx^2)^3 + (dy/dx)^2 = 0 is: —
2
47.
The order of the differential equation d^2y/dx^2 + y = 0 is: —
2
48.
Find the order of the differential equation d^4y/dx^4 + dy/dx = sin(x). —
4
49.
The degree of the differential equation (d^3y/dx^3) + 2(d^2y/dx^2) + dy/dx = 0 is: —
1
50.
What is the order of the differential equation d^2y/dx^2 + x^2y = 0? —
2