| F1: 1. Order | F2: 2. Order |
F3: 3. Order and higher |
F4: Partial DEqns | F5:
Transforms | F6: More |
F7: Exit |
1 |
Basics + Definitions |
Any 2. Order DiffEqn |
3. Order: Linear & Constant Coefficients -
Homogenous |
PDE-Basics |
LaPlace-Definition and Examples |
Find EigenValues and EigenVectors - Step by Step |
Exit |
2 |
Any 1. order DiffEqn |
Homogeneous |
3. Order: Linear & Constant Coefficients -
Not Homogenous |
LaPlace Equation |
Solve Diff Eqn using LaPlace Transform - Step by Step |
Rate Problems |
About |
3 |
Separable - Step by Step |
Non-Homogeneous |
3. Order: Linear & Constant
Coefficients using Variation of Parameter |
Diffusion Equation |
Do LaPlace Transform |
Salt in Tank - type Diff Eqns. |
Reset Constants to @1 |
4 |
Find Differential |
DiffEqn Checker |
Cauchy-Euler D.E. of 3. Order |
Wave Equation |
Do Inverse LaPlace Transform |
Find Wronskian |
Notes |
5 |
Homogeneous
- Step by Step |
IVP Solver given
a) y(x1) , y'(x2)
b) y'(x1) , y'(x2)
c) y(x1) , y(x2) |
4. Order: Linear & Constant Coefficients -
Homogenous |
Helmholtz Equation |
Do Inverse LaPlace - STEPS for partial
fractions and linear numerators |
Wronskian to find coefficients |
|
6 |
Exact - Step by Step |
Variation of Parameter - Step by Step |
2x2 Linear System:
x'=a*x+b*y
y'=c*x+d*y |
Poisson Equation |
Fourier Series - Stepwise |
Annihilator Method |
|
7 |
Non-exact - Step by
Step |
Undetermined Coefficients - Step by Step |
X' = A* X | |
Discrete Fourier Transform (DFT, FFT)
|
Do Picard Method |
|
8 |
Linear in x -
Step by Step with Integrating Factor |
Bessel DiffEqn |
X' = A* X + F |
|
Table of Fourier Transforms |
Error Function |
|
9 |
Linear in x -
Step by Step using Variation of Parameter |
Reduction of Order |
Separable Diff Eqn |
|
More Transforms |
Phase Line |
|
A |
Linear in y -
Step by Step with Integrating Factor |
Legendre DEQ |
|
|
Partial Fraction Decomposition (Steps)
|
Orthogonal Trajectories |
|
B |
Linear in y - Step by Step using
Variation of Parameter |
Cauchy-Euler DEQ
Homogeneous |
|
|
Complex Partial Fraction Decomposition
(Steps) | |
|
C |
M(x,y)dx+N(x,y)dy
- Step by Step |
Cauchy-Euler DEQ
Non homogeneous |
|
|
Perform Convolution of f and g .
| |
|
D |
N(x,y)*y'+M(x,y)=0
- Step by Step |
Series Solution |
|
|
Infinite Binomial Series and Binomial
Expansion | |
|
E |
DiffEqn Checker |
Frobenius Series |
| | | |
|
F |
RL Circuits |
Solve RCL Circuits |
| | | |
|
G |
Bernoulli
- Step by Step |
Vibrating Spring |
| | | |
|
H |
Riccati Equation |
Find g(x) in
y''+ay'+by=g(x)
given particular solution. |
| | | |
|
I |
Clairaut Equation |
|
| | | |
|
J |
Lagrange (d'Alembert) Equation |
|
| | | |
|
K |
Linear Fractions - Step by Step |
| | | | |
|
L |
Tractrix |
| | | | |
|
M |
Slope Field |
| | | | | |
N |
Particular Solution |
| | | | | |
O |
Euler's Method |
| | | | | |
P |
Euler's Method Backwards |
| | | | | |
Q |
Runge Kutta | | | | | | |
R |
Midpoint | | | | | | |