Core Topics Covered:-
The subject matter of this text bridges standard calculus with operational mathematics used to solve complex physical models:
- Ordinary Differential Equations (ODEs): Methods for finding solutions to first-order and higher-order equations that relate functions to their derivatives.
- Laplace Transforms: An integral transform method that converts linear differential equations into simpler algebraic equations, which are easier to solve.
- Inverse Laplace Transforms: The process of converting the algebraic solutions back into the original time domain.
- Theorems & Problems: Includes rigorous mathematical proofs along with extensive problem sets at the end of each chapter for concept reinforcement.
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