Home › Maharashtra HSC (Class 12) › businessmathematics › Differential Equations › The degree of (d²y/dx²)² + (dy/dx)³ + y = 0 is
The degree of (d²y/dx²)² + (dy/dx)³ + y = 0 is
A1
B2
C3
D5
Answer & Solution
Correct answer: B. 2
1. Degree is the power of the highest derivative when written in polynomial form.
2. Highest derivative is d²y/dx², raised to power 2.
3. Hence degree = 2.
4. Order = 2 as well; do not confuse the two.
_Source: Maharashtra Balbharati Std XII Mathematics & Statistics (Commerce), Ch 9 "Differential Equations", §9.1 ¶§9.1_
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: