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AP EAMCET · Maths · Differential Equations

Find the sum of the order and degree of the differential equation \(y=x\left(\frac{d y}{d x}\right)^3+\frac{d^2 y}{d x^2}\)

  1. A 2
  2. B 3
  3. C 4
  4. D 5
Verified Solution

Answer & Solution

Correct Answer

(B) 3

Step-by-step Solution

Detailed explanation

The order and degree of the given differential equation \(y=x\left(\frac{d y}{d x}\right)^3+\frac{d^2 y}{d x^2}\) are 2 and 1 respectively. So, the sum of the order and degree of given differential equation is 3. Hence, option (b) is correct.