Question

this is a differential equation question

please solve them with steps and details also, make sure it is correct

2. (4 points each) Find the particular solutions for the following differential equations. (a) y" – 4y = 21

Answer 1

The Given diffemtial education is - - 4 $y = 24 The auxuliary education is m2-40=o on, m(m-4) = 0 So, and m=4. The Complementary fumetion is 0.t 4t Cie +C.e 4t Cie + C2. The particulare Solution is - 1 e 2+ (D? 4D)

1. ema - AS; F (D) 2+ 1 1 F(m) emxit F(m) #0 e (2) 2 4.2 ezt 1 4-8 e 2t e - ezt. (Any) The poorticular Solution is 4