1 Find the area between the curve y 2x 3 21x 2 45x and the x axis from x 2 to x 6 2i) Check that the first order differential equation (3x dy dx) 3y 10 (xy 4 ) 1 5 is homogeneous and hence solve it by substitution (express y in term of x) ii) Find the particular solution if y(1) 32

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Question: 1. Find the area between the curve y = -2x 3 +21x 2 -45x and the x-axis from x=2 to x=6. 2i) Check that the

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

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