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Appendix H List of Symbols

Symbol Description Location
DE implies ODE
Since this text only covers ordinary differential equations, any use of DE will always imply ODE.
Derivative Notation
We will use the following notations for derivatives:
Derivative Order
1st 2nd 3rd 4th \(...\) nth
Prime \(y^\prime\) \(y^{\prime\prime}\) \(y^{\prime\prime\prime}\) \(y^{(4)}\) \(...\) \(y^{(n)}\)
Leibniz \(\ds\frac{dy}{dx}\) \(\ds\frac{d^2y}{dx^2}\) \(\ds\frac{d^3y}{dx^3}\) \(\ds\frac{d^4y}{dx^4}\) \(...\) \(\ds\frac{d^ny}{dx^n}\)