What is the differential equation of the family y=Cx?
Family y=Cx की differential equation क्या है?
Show answer and explanation
A. x dy / dx - y=0
ExplanationStep 1: Identify formation of a differential equation from a family. Step 2: From y=Cx, dy/dx=C and C=y/x, so dy/dx=y/x or xdy/dx-y=0. Step 3: Exam tip: Eliminate the arbitrary constant.
Step 1: अवधारणा family से DE बनाना है। Step 2: y=Cx से dy/dx=C और C=y/x, इसलिए dy/dx=y/x या xdy/dx-y=0। Step 3: Exam note: arbitrary constant को eliminate करें।