Differential Equations — Class 12 Maths Solution

exemplar objective MCQ NCERT EXEMP.Q.68,Page.200
Question

The order and degree of differential equation

$\left[ {1 + {{\left( {\frac{{dy}}{{dx}}} \right)}^2}} \right] = \frac{{{d^2}y}}{{d{x^2}}}$ are

  • (a) $2,\frac{3}{2}$
  • (b) 2,3
  • (c) 2,1 ✓ Correct
  • (d) 3,4
Step-by-step Solution
Correct answer: option (c)

Given that, $\left[ {1 + {{\left( {\frac{{dy}}{{dx}}} \right)}^2}} \right] = \frac{{{d^2}y}}{{d{x^2}}}$

$\therefore$ Order $= 2$ and degree $= 1$

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Differential Equations. Curated by Sachin Sharma. Free for all students.