Misc 13 (MCQ) - General solution: y dx - x dy / y = 0 - Class 12 - Miscellaneous

part 2 - Misc 13 (MCQ) - Miscellaneous - Serial order wise - Chapter 9 Class 12 Differential Equations

Take a fresh quiz. Then take another.
Every attempt is a new AI-adaptive Teachoo quiz with 3 questions, selected from your answers, mistakes, and progress.
Remove Ads

Transcript

Misc 13 The general solution of the differential equation (𝑦 𝑑π‘₯βˆ’π‘₯ 𝑑𝑦)/𝑦=0 is (A) π‘₯𝑦=𝐢 (B) π‘₯=𝐢𝑦^2 (C) 𝑦=𝐢π‘₯ (D) 𝑦=𝐢π‘₯^2(𝑦 𝑑π‘₯ βˆ’ π‘₯ 𝑑𝑦)/𝑦=0 ( 𝑦 𝑑π‘₯)/π‘¦βˆ’ ( π‘₯ 𝑑𝑦)/𝑦=0 dx = (π‘₯ 𝑑π‘₯)/𝑦 𝒅𝒙/𝒙 = π’…π’š/π’š Integrating both sides. ∫1β–’γ€–(𝑑π‘₯ )/π‘₯=(𝑑𝑦 )/(𝑦 )γ€— log x = log y + log c1 log x βˆ’ log y = log c1 log ((π‘₯ )/𝑦) = log c1 (𝒙 )/π’š = c1 y = π‘₯/𝑐_1 y = cx So, the correct answer is (c)

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.