All that is known concerning a mysterious second- order constant-coefficient differential equation Solutions.(a) Determine two linearly independent solutions to the corresponding homogeneous equation.(b) Find a suitable choice of p, q, and g(t) that enables these solutions.

Solution Step 1:We have given the second order constant coefficient differential equation We need to determine two linearly independent solutions to the corresponding homogeneous equation.And we have to find a suitable choice of and that enables these solutions.