2(a) Given that f(x, y) = 6x²y3 – cosx + 5y – siny + 10x, establish the fact that, the order in which the second order mixed partials derivatives are taken is immaterial. (b) Solve the separable differential equation 7е-3х + 2x2- хcosx -6y3 (c) Solve the IVP x(1 — siny)dy %3D (сosx — сosy — у)ӑх. x) = 0

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.