In this problem we present another way of discovering the second linearly independent solution of (1) when the roots of the auxiliary equation are real an equal. (a) If m_1 notequalto m_2, verify that the differential equation y" - (m_1 + m_2)y' + m_1 m_2y = 0 hasy = e^m_1x - e^m_2 x/m_1 - m_2 as a solution. (b) Think of m_2 as fixed and use I'Hospital's rule to find the limit of the solution in part (a) as m_1 rightarrow m_2. (c) Verify that the limit in part (b) satisfies the differential equation obtained from the equation in part (a) by replacing mi by m_2.