COMEDK · Maths · 32. Differential Equations
The sum of the degree and order of the following differential equation \(\left[1-\left(\dfrac{d y}{d x}\right)^2\right]^{\dfrac{3}{2}}=k x \dfrac{d^2 y}{d x^2}\)
- A 3
- B 4
- C \(\dfrac{3}{2}\)
- D \(\dfrac{5}{2}\)
Answer & Solution
Correct Answer
(B) 4
Step-by-step Solution
Detailed explanation
The given differential equation is \(\left[1 - \left(\dfrac{dy}{dx}\right)^2\right]^{\dfrac{3}{2}} = kx \dfrac{d^2y}{dx^2}\). To determine the order and degree, the equation must be expressed as a polynomial in terms of the derivatives. Squaring both sides to eliminate the…
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