Initial Value Problems with Discontinuity

Initial Value Problems with Discontinuity

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Solving a Discontinuous DE
Solving a Discontinuous DE
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Solving a Discontinuous DE

Solving a Discontinuous DE
Use of Laplace transform to solve an IVP with discontinuous forcing function

Use of Laplace transform to solve an IVP with discontinuous forcing function
Differential Equation | Piecewise forcing function example

Differential Equation | Piecewise forcing function example
Discontinuous Forcing Functions

Discontinuous Forcing Functions
Initial Value Problem with Dirac Delta y' - 3y = Delta(t - 2) and y(0) = 0

Initial Value Problem with Dirac Delta y' - 3y = Delta(t - 2) and y(0) = 0
Discontinuous forcing functions

Discontinuous forcing functions
Using Laplace Transforms to solve Differential Equations ***full example***

Using Laplace Transforms to solve Differential Equations ***full example***
Ex 1: Find the Interval that Guarantees a Solution to an IVP Exists (Interval of Validity)

Ex 1: Find the Interval that Guarantees a Solution to an IVP Exists (Interval of Validity)
Solve the Initial Value Problem: y'(t) = t/y with y(1) = 2

Solve the Initial Value Problem: y'(t) = t/y with y(1) = 2