Home › CBSE Class 12 › Mathematics › Differential Equations › The ORDER and DEGREE of the DE (d²y/dx²)³ + (dy/…
The ORDER and DEGREE of the DE (d²y/dx²)³ + (dy/dx)⁵ + y = 0 are:
AOrder 3, degree 2
BOrder 2, degree 3
COrder 5, degree 1
DOrder 2, degree 5
Answer & Solution
Correct answer: B. Order 2, degree 3
Order = highest derivative present = d²y/dx² → 2. Degree = power of highest-order derivative = (d²y/dx²)³ → 3.
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: