What is the solution of the differential equation In ` ((dy)/(dx))-a =0` ?

Options

A. ` y =xe^(a) +c`
B. `y = ye^(a)+c`
C. `y = In x +c`
D. ` x = In y +c `

Answer

A

Explanation

In ` ((dy)/(dx))-a =0`
` Rightarrow "In" ((dy)/(dx))=a " " Rightarrow (dy)/(dx) =e^(a)`
` Rightarrow intdy = inte^(a) .dx " " Rightarrow y = e^(a) .x +c`