Question

Determine whether the equation is exact. If it is, then solve it. (4x®y+8) dx + (x4 - 5) dy = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. = C, where is an arbitrary constant. O A. The equation is exact and an implicit solution in the form F(x,y) = C is (Type an expression using x and y as the variables.) OB. The equation is not exact.

Answer 1

+ (n -5) dy = 0 (483y + 8) au M 423 My a l a [4x3y +8 dy a [ay] Mn 4213 exact equation is fx lx, y) 4x3y+8 fy(x,y) nu-5 yuly 8n thly) t T n" +80) th lyg=nthily, 4 flusy) Sur²y + 8) de +8) ose = 4. f(x,y) = xly 8x thly Differentiate wort 'y' fylx,y) = fy(x,y) = hly) comparing with x-s hly hly) = -sy 204 hly) = -5 니 u f(x,y) = selly + 8x - sy is solution so, c 11 x y + 8n-sy