Expert Math Class 12 Level 6

What is the general solution of dy/dx=y/x?

dy/dx=y/x का general solution क्या है?

Show answer and explanation
Correct Answer

A. y=Cx

Explanation

Step 1: Identify separable differential equation. Step 2: From dy/y=dx/x, ln y=ln x+C, so y=Cx. Step 3: Exam tip: Put y terms and x terms on separate sides.

Step 1: अवधारणा variable separable DE है। Step 2: dy/y=dx/x से ln y=ln x+C, इसलिए y=Cx। Step 3: Exam note: y और x को अलग-अलग side में रखें।

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