Higher-Order Solutions of Coupled Systems Using the Parameter Expansion Method

Figure 10

Comparison of the first- and second-order analytical approximate solutions with the exact solution for 𝑚₁=3.0, 𝑚₂=5.0, 𝑘₁=2.0, 𝑘₂=5.0 with 𝑥(0)=5.0 and 𝑦(0)=−5.0 (Case  3).

(a) (𝑥-𝑡) diagram

(b) (𝑦-𝑡) diagram