Differential Equations — Class 12 Maths Solution

exemplar objective MCQ NCERT EXEMP.Q.46,Page.197
Question

Which of the following is a second order differential equation?

  • (a) ${\left( {{y^\prime }} \right)^2} + x = {y^2}$
  • (b) ${y^\prime }{y^{\prime \prime }} + y = \sin x$ ✓ Correct
  • (c) ${y^{\prime \prime \prime }} + {\left( {{y^{\prime \prime }}} \right)^2} + y = 0$
  • (d) ${y^\prime } = {y^2}$
Step-by-step Solution
Correct answer: option (b)

The second order differential equation is $y'y'' + y = \sin x$.

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