(a) Mr. Andoh has a savings account with first deposit of GH ¢1200 and afterwards deposits GH ¢56 a week. Compute the value of the account at time t> 0 assuming the bank pays 8%. interest compounded without a pause. (b) Solve the initial value Problem N = T(N – N²) N(0)= No, where T, q are positive. Hence or otherwise, find the solution of the Verhulst mode when t → ∞ (c) Find the Wronskian of a given set {y1, Y2} of solutions of (1 – x?)y" – 2xy' + a(a + 1)y = 0 when W (0) = 1

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.