MCQOPTIONS
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| 1. |
Which of the following differential equations has the same order and degree [Kurukshetra CEE 1998] |
| A. | \[\frac{{{d}^{4}}y}{d{{x}^{4}}}+8\text{ }{{\left( \frac{dy}{dx} \right)}^{6}}+5y={{e}^{x}}\] |
| B. | \[5\text{ }{{\left( \frac{{{d}^{3}}y}{d{{x}^{3}}} \right)}^{4}}+8\text{ }{{\left( 1+\frac{dy}{dx} \right)}^{2}}+5y={{x}^{8}}\] |
| C. | \[{{\left[ 1+{{\left( \frac{dy}{dx} \right)}^{3}} \right]}^{2/3}}=4\frac{{{d}^{3}}y}{d{{x}^{3}}}\] |
| D. | \[y={{x}^{2}}\frac{dy}{dx}+\sqrt{1+{{\left( \frac{dy}{dx} \right)}^{2}}}\] |
| Answer» D. \[y={{x}^{2}}\frac{dy}{dx}+\sqrt{1+{{\left( \frac{dy}{dx} \right)}^{2}}}\] | |