Maths · Ordinary differential equations, their order and degree
Order and degree of y_{2}^{2}+\left(x^{2}-2\right) y_{1}^{3}-2(x+ \) \boldsymbol
Order and degree of \( \left(x^{2}+2 x\right) y_{2}^{2}+\left(x^{2}-2\right) y_{1}^{3}-2(x+ \) \( \mathbf{3}) \boldsymbol{y}=\mathbf{0} \) are:
- A. 2,3
- B. 2,
- C. 3,1
- D. 3,
Step-by-step solution
The highest order derivative is the second derivative (y2), so order = 2. The power of the highest order derivative in the polynomial equation is 2, so degree = 2. Option B is the only one with order 2, matching the correct order.
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