If y = sin x + cos x, which of the following differential equations is satisfied? A. d²y/dx² − y = 0 B. d²y/dx² + y = 0 C. d²y/dx² + y² = 0 D. d²y/dx² − y² = 0 Answer: B) d²y/dx² + y = 0 Explanation: dy/dx = cos x − sin x. d²y/dx² = −sin x − cos x = −(sin x + cos x) = −y. Therefore, d²y/dx² + y = 0.

imo class 12 continuity and differentiability

If y = sin x + cos x, which of the following differential equations is satisfied?

VAVidaara Admin Asked 6d ago 0 views 0 answers

If y = sin x + cos x, which of the following differential equations is satisfied?

Answer: B) d²y/dx² + y = 0

Explanation: dy/dx = cos x − sin x. d²y/dx² = −sin x − cos x = −(sin x + cos x) = −y. Therefore, d²y/dx² + y = 0.