Q.2 (iii) Write the order of the differential equation √(1 + (dy/dx)²) = (d²y/dx²)^(3/2)

Answer: Order = 2. The highest order derivative present is d²y/dx² , so the order is 2. (Squaring both sides gives 1 + (dy/dx)² = (d²y/dx²)³ , so the degree is 3.)

Write the order of the differential equation \(\sqrt{1 + \left(\dfrac{dy}{dx}\right)^2} = \left(\dfrac{d^2y}{dx^2}\right)^{\frac32}\)

Q.2 (iii) Write the order of the differential equation \(\sqrt{1 + \left(\dfrac{dy}{dx}\right)^2} = \left(\dfrac{d^2y}{dx^2}\right)^{\frac32}\)

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Answer: Order = 2.

The highest order derivative present is \(\dfrac{d^2y}{dx^2}\), so the order is 2. (Squaring both sides gives \(1 + \left(\frac{dy}{dx}\right)^2 = \left(\frac{d^2y}{dx^2}\right)^3\), so the degree is 3.)

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Write the order of the differential equation \(\sqrt{1 + \left(\dfrac{dy}{dx}\right)^2} = \left(\dfrac{d^2y}{dx^2}\right)^{\frac32}\)

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