Home › CBSE Class 12 › Mathematics › Differential Equations › For an equation with a sine of a derivative, the…
For an equation with a sine of a derivative, the degree is:
AEqual to zero
BNot defined
CEqual to one
DEqual to two
Answer & Solution
Correct answer: B. Not defined
1. A sine of a derivative is not a polynomial term.
2. The requirement for defining degree therefore fails.
3. So the degree of such an equation cannot be defined.
_Source: NCERT Class 12 Mathematics Part II, Chapter 9, Differential Equations._
Related questions
Reducing $(2x-1)\dfrac{d^2y}{dx^2}-2\dfrac{dy}{dx}=0$ with $y=2$ and $\dfrac{dy}{dx}=3$ atA village grows at a rate proportional to its population. It was 20,000 in 1999 and 25,000For $\dfrac{d^2y}{dx^2}+3\dfrac{dy}{dx}+2y=6e^{x}+ in x$, the particular integral is:The complementary function of $\dfrac{d^2y}{dx^2}+3\dfrac{dy}{dx}+2y=6e^{x}+ in x$ is:Solutions of a differential equation form a set that is a:The power counted for the degree must be a whole number that is:An equation whose highest derivative is the third has order:The study at this stage is confined to equations that are: