alleryThe **order** of a differential equation is:
AThe highest power of the dependent variable
BThe highest-order derivative present in the equation
CThe number of arbitrary constants in the solution
DAlways equal to its degree
Answer & Solution
Correct answer: B. The highest-order derivative present in the equation
Order = highest order of derivative appearing.
e.g. $d^2y/dx^2 + 3(dy/dx) + y = 0$ has order 2 (because of $d^2y/dx^2$).
The order is always a positive integer.
Keep practising Differential Equations
Browse all Differential Equations questions for AP Intermediate 2nd Year, or explore more Mathematics topics.
Related questions
For the linear DE dy/dx + (1/x)y = x, the INTEGRATING FACTOR μ(x) is:Complete the definition of order and degreeComplete the definition of a differential equationOrder, degree, or neither?True or false: methods of solutionRecognising the typeGeneral solution or particular solution?True or false: what a solution is