4.3 Formulation and Learning Algorithm of RBNN Model -- 4.4 Computation of Gradient for RBNN Model -- 4.5 First-Order Linear ODEs -- 4.6 Higher-Order Linear ODEs -- References -- Chapter 5: Single-Layer Functional Link Artificial Neural Network -- 5.1 Single-Layer FLANN Models -- 5.1.1 ChNN Model -- 5.1.1.1 Structure of the ChNN Model -- 5.1.1.2 Formulation of the ChNN Model -- 5.1.1.3 Gradient Computation of the ChNN Model -- 5.1.2 LeNN Model -- 5.1.2.1 Structure of the LeNN Model -- 5.1.2.2 Formulation of the LeNN Model -- 5.1.2.3 Gradient Computation of the LeNN Model -- 5.1.3 HeNN Model -- 5.1.3.1 Architecture of the HeNN Model -- 5.1.3.2 Formulation of the HeNN Model -- 5.1.4 Simple Orthogonal Polynomial-Based Neural Network (SOPNN) Model -- 5.1.4.1 Structure of the SOPNN Model -- 5.1.4.2 Formulation of the SOPNN Model -- 5.1.4.3 Gradient Computation of the SOPNN Model -- 5.2 First-Order Linear ODEs -- 5.3 Higher-Order ODEs -- 5.4 System of ODEs -- References -- Chapter 6: Single-Layer Functional Link Artificial Neural Network with Regression-Based Weights -- 6.1 ChNN Model with Regression-Based Weights -- 6.1.1 Structure of the ChNN Model -- 6.1.2 Formulation and Gradient Computation of the ChNN Model -- 6.2 First-Order Linear ODEs -- 6.3 Higher-Order ODEs -- References -- Chapter 7: Lane-Emden Equations -- 7.1 Multilayer ANN-Based Solution of Lane-Emden Equations -- 7.2 FLANN-Based Solution of Lane-Emden Equations -- 7.2.1 Homogeneous Lane-Emden Equations -- 7.2.2 Nonhomogeneous Lane-Emden Equation -- References -- Chapter 8: Emden-Fowler Equations -- 8.1 Multilayer ANN-Based Solution of Emden-Fowler Equations -- 8.2 FLANN-Based Solution of Emden-Fowler Equations -- References -- Chapter 9: Duffing Oscillator Equations -- 9.1 Governing Equation -- 9.2 Unforced Duffing Oscillator Equations