List of top Engineering Mathematics Questions on Ordinary Differential Equations asked in GATE MT

Solution of the differential equation \[ 10x^2\frac{d^2y}{dx^2}-20x\frac{dy}{dx}+22.4y=0 \] is \[ y=c_1x^{m_1}+c_2x^{m_2} \] where \(m_1 \neq m_2\).
The value of \(m_1+m_2\) (answer in integer) is ______.