Answer:
B
Step-by-step explanation:
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Answer:
y =C₁eˣ + C₂e⁻ˣ + C₃ cos x + C₄ sin x
Step-by-step explanation:
given,
y⁽⁴⁾ - y = 0
( D⁴ - 1 ) y = 0..............(1)
writing characteristics equation
m⁴ -1 = 0
(m² - 1)(m² +1) = 0
(m - 1)(m+1)(m²+1) = 0
hence, roots of the equation comes out to be
= 1, -1, ± i
so the general solution will be
y =C₁eˣ + C₂e⁻ˣ + C₃ cos x + C₄ sin x
The domain is all real numbers and the range is all the reals at or above the vertex y coordinate (if the coefficient on the squared term is positive) or all the reals at or below the vertex (if said coefficient is negative).
Answer:
I think its n=1 but not quite sure.
