First Order De

Question

The order of the differential equation d²y/dx² + 3(dy/dx) + 2y = 0 is

RankGuru · Accepted Answer

1. **Definition of Order**: The order of a differential equation is the order of the highest derivative appearing in the equation.
2. **Identify Derivatives**:
   - First derivative: $\frac{dy}{dx}$
   - Second derivative: $\frac{d^2y}{dx^2}$
3. **Determine Highest Order**: The highest derivative present is $\frac{d^2y}{dx^2}$, which is of order 2.
- Note: The 'degree' would be 1 because the highest derivative is raised to the power of 1.

Rank Guru

First Order De

Select the correct option:

Solution

🔒 Solution Hidden from View

More first order de Practice Questions

The differential equation dy/dx = x/y represents

The degree of the differential equation (dy/dx)³ + 2(dy/dx)² + y = 0 is

The solution of dy/dx = y is

The solution of dy/dx + y = 0 with initial condition y(0) = 1 is

About This Question