NOTE: WRITE THE ANSWERS CLEARLY AND UNDERSTANDABLE TO SEE BECAUSE I AM HAVING A HARD TIME SEEING MESSY HANDWRITING

*SHOW THE COMPLETE SOLUTION

1. Consider the 2'\"1 order differential equation 2 d f 2 df + m2) = o _+ :12:1 2 dz To solve the problem without using Frobenius method. use the substitution M(Z) 2 HI)! to reveal a familiar 1t order differential equation. 2. Using Frobenius method, solve the 2"d order differential equation + d2 f 2 dj + af ( 2 ) = 0 dz 2 z dz