Maths · Ordinary differential equations, their order and degree
The order and degree of the differential equation, ^{3}=\sin y+3 x \quad \) are
The order and degree of the differential equation, \( \left(\frac{d^{2} y}{d x^{2}}\right)^{3}=\sin y+3 x \quad \) are
- A. 3,2
- B. 2,3
- C. 3, \) not defined
- D. Not defined, 2
Step-by-step solution
The highest order derivative is d²y/dx² (order 2). The equation is polynomial in derivatives, and the power of the highest order derivative is 3, so degree is 3.
Related MCQs
- Find the order and degree of ^{1 / 2}=\boldsymbol{y}^{\prime \prime} \)…
- The differential equation corresponding to where is an arbitrary constant, is:…
- The family of curves represented by and the family represented by…
- Assertion The order of the differential equation, of which is a solution, is 2 Reason The differential equation is…
- Consider the following statements: 1. The general solution of + \) is of the form +c, \) where is an arbitrary constant. 2. The degree of ^{…