Question

The order and degree of the differential equation $ \frac{{{d}^{2}}y}{d{{x}^{2}}}={{\left\{ 1+{{\left( \frac{dy}{dx} \right)}^{2}} \right\}}^{\frac{3}{2}}} $ . are:

• A. 2, 2
• B. 2, 1
• C. 1, 2
• D. 2, 3
• E. 1, 3

Answer 1

Answer: (A)

The given differential equation Is $ \frac{{{d}^{2}}y}{d{{x}^{2}}}={{\left[ 1+{{\left( \frac{dy}{dx} \right)}^{2}} \right]}^{3/2}} $ $ \Rightarrow $ $ \left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)={{\left( 1+{{\left( \frac{dy}{dx} \right)}^{2}} \right)}^{3}} $ $ \therefore $ Degree and order of equation are 2 and 2 respectively.