Find the integrating factor of (1 + x²)(dy/dx) + 2xy = 1. A. 1 + x² B. 1 / (1 + x²) C. log(1 + x²) D. 2x Answer: A) 1 + x² Explanation: Standard form: dy/dx + [2x/(1+x²)]y = 1/(1+x²). P = 2x/(1+x²). IF = e^(∫[2x/(1+x²)]dx) = e^[log(1+x²)] = 1 + x².

imo class 12 differential equations

Find the integrating factor of (1 + x²)(dy/dx) + 2xy = 1.

VAVidaara Admin Asked 6d ago 0 views 0 answers

Find the integrating factor of (1 + x²)(dy/dx) + 2xy = 1.

Answer: A) 1 + x²

Explanation: Standard form: dy/dx + [2x/(1+x²)]y = 1/(1+x²). P = 2x/(1+x²). IF = e^(∫[2x/(1+x²)]dx) = e^[log(1+x²)] = 1 + x².