my mathematics cheat sheet

February 12, 2026 Compiled on February 12, 2026 at 12:50 Noon

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