COMEDK · Maths · 32. Differential Equations
The sum of the order and degree of the differential equation \(\left(\dfrac{d^2 y}{d x^2}\right)^5+\dfrac{4\left(\dfrac{d^2 y}{d x^2}\right)^3}{\left(\dfrac{d^3 y}{d x^3}\right)}+\dfrac{d^3 y}{d x^3}=x^2-1\) is
- A 8
- B 4
- C 6
- D 5
Answer & Solution
Correct Answer
(D) 5
Step-by-step Solution
Detailed explanation
The given differential equation is \(\left(\dfrac{d^2 y}{d x^2}\right)^5 + \dfrac{4\left(\dfrac{d^2 y}{d x^2}\right)^3}{\left(\dfrac{d^3 y}{d x^3}\right)} + \dfrac{d^3 y}{d x^3} = x^2 - 1\). To determine the order and degree, the equation must be expressed as a polynomial in…
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