ODEs

• Formulation of differential equations — T3
• Variables separable — T3
• Homogeneous Equations and Reduction — T4
• Linear first-order — T3
• Exact equations — T2
• Orthogonal trajectories (cartesian and polar) — T2
• First-order higher-degree ODEs — T3
• Clairaut's equation — T2
• Linear ODE with constant coefficients — T3
• Particular integral via operator method — T2
• Euler-Cauchy equation — T1
• Method of variation of parameters — T1
• Reduction of order with one solution known — T3
• Laplace transform — T3
• Properties of Laplace transform (linearity, shift, derivative, convolution) — T3
• Inverse Laplace transform — T3
• Laplace transform applied to IVP for second-order linear ODE with constant coefficients — T1
• Picard's Existence/Uniqueness Theorem; Lipschitz Condition — T4