cos sin 0 3. Find the eigenvalues and eigenvectors for the rotation matrix Ro (a) where = 풍. = sin cos (b) where 0 <0<

Consider a disease where immunity is lost. On average, aftern days, a recovered person becomes susceptible again. Adjust the equationsfor ds/dt , di/dt, and dr/dt in the SIR model to account for this.

4x'y 2 If the expression is written in the form ax'y°, then what is the 4 product of a, b and c?

Solve the differential equation by converting it to the Cauchy Euler equation under a suitable transformation that you will determine.