Home › Maharashtra HSC Class 12 (Commerce) › businessmathematics › Differential Equations › The order of the differential equation d²y/dx² +…
The order of the differential equation d²y/dx² + 3 dy/dx + 2y = 0 is
A0
B1
C2
D3
Answer & Solution
Correct answer: C. 2
1. Order = highest derivative appearing.
2. Here d²y/dx² is the highest derivative, of order 2.
3. Degree is 1 since it appears to the first power.
4. Hence the order is 2.
_Source: Maharashtra Balbharati Std XII Mathematics & Statistics (Commerce), Ch 9 "Differential Equations", §9.1 ¶§9.1_
Related questions
Solution of dy/dx = ky (k > 0) representsThe degree of (d²y/dx²)² + (dy/dx)³ + y = 0 isEuler's method for a DE y' = f(x, y) computes the next value as:A mass on a spring obeys d²x/dt² + ω²x = 0 (SHM). The period of oscillation is:For the second-order LDE y'' − 5y' + 6y = 0, the auxiliary equation m² − 5m + 6 = 0 has roBy Newton's law of cooling, a hot tea cup at 90°C in a room at 25°C cools so that:If a population grows exponentially as dN/dt = 0.1 N (with t in years), the DOUBLING TIME For the linear DE dy/dx + (1/x)y = x, the INTEGRATING FACTOR μ(x) is: