1. Find the area between the curve y = -2x³+21x²-45x and the x-axis from x=2 to x=6.

2i) Check that the first-order differential equation (3x dy/dx)-3y = 10 (xy⁴ )^1/5is homogeneous and hence solve it by substitution. (express y in term of x)

ii) Find the particular solution if y(1) = 32