2. for each of the ode, determine whether it is separable, linear or exact, and solve it. a) (10 points) dy-(y - 1) dx = 0. b) (20 points) - y=x2 sinx c) (20 points) (3x + 4xy)dx + (2x2 - 6y? )dy = 0 3. (15 points) verify that 3x2 - y2 = c is a one-parameter family of solutions of the ode v = 3x. (hint: use implicit derivation).

1,589.63 in.^3

step-by-step explanation:

i hope this you : d

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.