3(a) Critically explain with practical examples on how a particular solution of a differential equation can...

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3(a) Critically explain with practical examples on how a particular solution of a differential equation can be deduced from the general solution. [2marks] (b) Find the equation of the tangent line to the curve 8x²y3 – 5x2 + 7y3 = 10(x – 3y), at the point (2,-2). [6 marks] (c) Given T" = 6x²y3 – cosx + 5y2 – siny + 10x² – e-3x; determine (i) T' = S(T")dx [3marks] (ii) T' = S(T")dy [3marks] (d) Solve the equation cosecxcosydy – 10xdx = 0, separably. 3(a) Critically explain with practical examples on how a particular solution of a differential equation can be deduced from the general solution. [2marks] (b) Find the equation of the tangent line to the curve 8x²y3 – 5x2 + 7y3 = 10(x – 3y), at the point (2,-2). [6 marks] (c) Given T" = 6x²y3 – cosx + 5y2 – siny + 10x² – e-3x; determine (i) T' = S(T")dx [3marks] (ii) T' = S(T")dy [3marks] (d) Solve the equation cosecxcosydy – 10xdx = 0, separably.