Differential Equations - Formation

Grade 12 Maths — Differential Equations - Formation: 25 practice questions with instant scoring and explanations.

1. A differential equation is an equation involving:
2. The order of a differential equation is:
3. The degree of a differential equation is:
4. dy/dx = 2y is a differential equation of:
5. An ordinary differential equation (ODE) involves:
6. A particular solution of a differential equation is:
7. The general solution of dy/dx = k contains:
8. For the equation y'' + 3y' + 2y = 0, the order is:
9. A first-order linear differential equation has the form:
10. The differential equation (dy/dx)² + y = x is of order:
11. An initial condition for a first-order ODE typically specifies:
12. A separable differential equation has the form:
13. The differential equation dy/dx = 3x² is:
14. For dy/dx = xy, the general solution involves:
15. A differential equation y' = f(x, y) is autonomous if:
16. The differential equation dy/dx = y²/x² is:
17. A solution curve of a differential equation is:
18. The equation dy/dx − 2y = e^x is:
19. A Cauchy-Euler equation has the form:
20. The integrating factor for dy/dx + P(x)y = Q(x) is:
21. A second-order differential equation requires:
22. The equation (d²y/dx²) − y = sin(x) is:
23. Question?
24. Question?
25. Question?