Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

Which of the following represents the differential equation corresponding to : y = Ax

?
Options:

xy'=y (x\(\neq \) 0)

xy'=y (y\(\neq \) 0)

x'y=y (x\(\neq \) 0)

x'y=y (y\(\neq \) 0)

Correct Answer:

xy'=y (x\(\neq \) 0)

Explanation:

y=Ax

differentiate w.r.t. x

dy/dx=A=y/x

xdy/dx=y, (x\(\neq \) 0)