my mathematics cheat sheet

May 26, 2025 Compiled on May 26, 2025 at 1:29am

A place to keep quick notes about Math that I keep forgetting. This is meant to be a scratch notes and cheat sheet for me to write math notes before I forget them or move them somewhere else. Can and will contain errors and/or not complete description in number of places. Use at your own risk.

1 How to use LambertW to solve equation?
2 What is a ﬁrst integral of a diﬀerential equation and how to ﬁnd it?
3 Special ode’s and their solutions
4 Change of variables and chain rule in diﬀerential equation
5 Changing the role of independent and dependent variable in an ode
6 general notes
7 Converting ﬁrst order ODE which is homogeneous to separable ODE
8 Direct solving of some simple PDE’s
9 Fourier series ﬂow chart
10 Laplacian in diﬀerent coordinates
11 Linear combination of two solution is solution to ODE
12 To ﬁnd the Wronskian ODE
13 Green functions notes
14 Laplace transform notes
15 Series, power series, Laurent series notes
16 Gamma function notes
17 Riemann zeta function notes
18 Complex functions notes
19 Hints to solve some problems
20 Some CAS notes
21 d’Alembert’s Solution to wave PDE
22 Convergence
23 Note on using when to raise ln to exp solving an ode
24 References