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Solve the differential equation: x(x +1) dx + (x2 - 1) dy = 0 Ify = 2 when x = 2, determine y when x = 4.Solve for tan z if z= 0.334+j0.1234t -2t Evaluate the Laplace transform of f(t) = 3e - eIf sin A = 4/5 and Sin (A + B) = 1, find Cos BFind the polar moment of inertia of the area of a circle of radius 2 cm with respect to their center.-valuate Jo Jo acydedy-3It Evaluate the Fourier transform of f(t) = eA is an expression, which can be written as the quotient of two polynomials. Find the area bounded by the curve 2x^2 + 4x + y in the 2nd quadrant. In square unitsWhen solving optimization problems, which of the following contains the quantity to be optimized? primary equation auxiliary equation optimal equation None of these secondary equation \frational algebraic function irrational algebraic fraction None of these rational algebraic fraction rational algebraic function