Laplace Transform Determination/Method of Differential Equations
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Solution Technique for Laplace Transform
To find the Laplace transform of a function $f$, one can evaluate it as follows:
- $(1): \quad$ Find a differential equation satisfied by $\map f t$
- $(2): \quad$ Evaluate the derivatives according to Higher Order Derivatives of Laplace Transform and its various instances.
Examples
Laplace Transform Determination/Method of Differential Equations/Examples
Sources
- 1965: Murray R. Spiegel: Theory and Problems of Laplace Transforms ... (previous) ... (next): Chapter $1$: The Laplace Transform: Methods of Finding Laplace Transforms: $3$. Method of differential equations