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Math · Advanced Math
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KKKQ2124 PART A (60 MARKS) Answer ALL questions 1. Consider the nonhomogeneous Cauchy Eulers differential equation, (a) Find a complementary solution%- 6 marks) b) Find a particular solution yp by using variation of parameter 8 marks) (c) Write down the general solution of the nonhomogencous equation. mark 2. Given the system of differential equations: dw 5+22+S (a) Solve for w() and() by systematic elimination (10 marks) (b) Rewrite the system of equation in matrix form. Use the answer obtained in part (a) to deduce: 6) The solution to the system of equations in matrix form (ii) The eigenvalues and eigenvectors ofthe coefficient matrix. (5 marks)
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