Consider the differential equation (dy)/(dx)=1+y^2 which one of the following can be particular solution of this differential equations? A) y=tan(x+3) B) y=(tan x)+3 C) x=tan(y+3) D) x=(tan y)+3

Kamenemoj3q

Kamenemoj3q

Answered question

2023-02-18

What are the absolute extrema of f ( x ) = x 3 - 3 x + 1 [ 0 , 3 ] ?

Answer & Explanation

Alfonso Marsh

Alfonso Marsh

Beginner2023-02-19Added 4 answers

The right option is A y = tan ( x + 3 )
We know, d y d x = 1 + y 2 ...(i)
d y 1 + y 2 = d x
tan 1 ( y ) = x + c
tan ( x + c ), where c is arbitrary constant

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