Find two power series solutions of the given differential equation about the ordinary point x=0: y″−xy=0.(Please write three terms in each blank

B- Solve the following differential equation у" — 7у' + 3 %3D о

Solve the given differential equation by undetermined coefficients. y'' + 2y' = 2x + 9 - e-2x

In a nursery, the reason for spreading a virus epidemic is equal to half of those who have not gotten sick yet. if 200 children are enrolled in the nursery, give a differential equation for the number of children infected N with respect to time t in days. Solve the differential equation to answer the following: If a sick  child started the epidemic, will they all be infected three days later?