yo(x) = −2+ 4e²x² 5. yo(x) = 2 + 4e²x² (iii) For the particular solution yo in (ii), find the value of yo(√In 2). 1. yo(√In 2) = 12 2. yo(√In 2) = 14 3. yo(√In 2) = 11 4. yo(√In 2) = 13 (5.) yo(√In 2) = 10 f(x + y) 018 A differentiable function f has the property that = lim f(x) x 0 2+4 e = 0, In 2 is f(x) + f(y) 1- f(x) f(y) holds for all x, y in the domain of f. It is known also that f(x) lim x →0 X = 9. (i) Use the definition of the derivative of f to determine f'(x) in terms of f(x). 019 (ii) By solving the differential equation in Part ㅠ (i) for f, find the value of f( 1. f( 2. $(7) ƒ (27) = √3 3. ƒ (17) = 4. f ㅠ 27 5. ƒ (77) 1 √2 న ప/ /వ 2xy √√3 (²7) = √₂ If y₁ satisfies the equations dy dx determine the value of y₁(e). 1. y₁(e) = (8 + 4e²)¹/2 2. y₁(e) = (5 + 4e²)¹/2 3. y₁(e) = 54e² 4. y₁(e) = (8 — 4e²)¹/2 2 + 12x² lnx, y(1) = e,