Order and degree of a differential equation
Differential equations (introductory) · Mathematics
Study notes
Q: Find the order and degree of (d^3y/dx^3)^2 + (dy/dx)^4 = x. Highest derivative: d^3y/dx^3, so order = 3. Its power: 2, and the equation is polynomial in derivatives, so degree = 2. Answer: order 3, degree 2.