Question: a) The particular solution that satisfies the differential equation and the initial condition of dy/dx = x 2 + 2x - 4; y = 8/3

a) The particular solution that satisfies the differential equation and the initial condition of dy/dx = x2 + 2x - 4; y = 8/3 when x = 2 is y = (1/3)x3+ x2 - 4. (TRUE OR FALSE)

b) The differential equation (xy2 + y)dy = (x + 1)dx is separable. (TRUE OR FALSE)

c) The particular solution that satisfies the differential equation and the initial condition dy/dx = x3/2(x + 1); y = 0 when x = 1 is y = 7/2 (x2/7) + 5/2(x2/5) - 24/35. (TRUE OR FALSE)

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