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Laplace Transforms in Differential Equations by Abarajitha Amudhan is a document available to read on EtoBox.
The document introduces Laplace transforms, which can directly give solutions to differential equations with boundary values without finding the general solution first. The Laplace transform of a function f(t) is defined as the integral of f(t)e^-st from 0 to infinity. For the transform to exist, f(t) must be continuous and the integral of |f(t)| must be finite. Some key properties discussed include linearity, shifting properties, transforms of derivatives and integrals, and transformations under multiplica
- Author
- Abarajitha Amudhan
- Language
- EN