(E) none of these
- The curve that passes through the point (1,1) and whose slope at any point (x, y) is equal to
has the equation
(A) 3 x − 2 = y
(B) y^3 = x
(C) y = x^3
(D) 3 y^2 = x^2 + 2
(E) 3 y^2 − 2x = 1
- What is the domain of the particular solution in Question 19?
(A) all real numbers
(B) |x| ≤ 1
(C) x ≠ 0
(D) x < 0
(E) x > 0
- If k a constant, and if y = 2 when x = 1 and y = 4 when x = e, then, when x = 2, y equals
(A) 2
(B) 4
(C) ln 8
(D) ln 2 + 2
(E) ln 4 + 2
- The slope field shown below is for the differential equation
(A) y ′ = x + 1
(B) y ′ = sin x
(C) y ′ = −sin x
(D) y ′ = cos x
(E) y ′ = −cos x
- The slope field below is for the differential equation
