A Use the method of reduction of order and the solution Provided for The given DE to find a second, linearly independent, solution of the equation. ( t - 1 ) y" _ ( + + 1 ) y + 2y = 0 , y , ( t ) = et Answer : The answer is y, (t ) = - (12 + 1 ) 2 . ( + 2 + 1 ) y " - 2 ty + 2y = 0, y , ( t ) = t The answer is : 42 (t ) = 12 1 B. Use The method of undetermined coefficients to find a patticular solution of the DE and Then Solve The given Iv P . 9y" + 124 + 4y = 20- y 10 ) = - 1 , y' 1 0 ) = 1 The answer is up (t ) = 2e, y ( + ) = (t - 3 ) e 2+ 2. 4 " + 24 + y = 25 sin ( 2+ ), 4 (0 ) = 0, y' (0 ) = 0 The answer is up (+ ) = = 4 cos ( 2t ) - 3 sin ( 2t) y (+ ) = ( 10 t + 4 ) et - 4 cus(2t) - 3sin(21) - Please solve these questions and if your solution matches the answers, then it is correct