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ODE system solver
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First-Order Scalar-Valued ODE Solver
Visualizing different numerical methods.
Comparing different numerical methods for your favorite ODE.
The following will allow you to obtain numerical solutions to first order initial value problems of your own choice.
Here are the things you can enter to get your ODE:
Operations: + - * / ^ !
(Please use *
for multilication; using a space rather than an asterisk for multiplication doesn’t work if some factors of the product involve parentheses)
Arithmetic functions: abs
exp
log
(for natural logarithm; don't use ln
) sqrt
Trigometric functions:
Trigonometric functions: sin
cos
tan
csc
sec
cot
Inverse trigonometric functions: asin
acos
atan
acsc
asec
acot
Hyperbolic functions: sinh
cosh
tanh
csch
sech
coth
Inverse hyperbolic functions: asinh
acosh
atanh
acsch
asech
acoth
Constants:
e
or E
: the base of natural logarithm $e = 2.71...$
pi
or PI
: the constant $\pi = 3.14...$
phi
: the golden ratio $1.618...$
Note: Use parentheses around function arguments; for example, use sin(y)
instead of sin{y}
. The parser is provided by math.js . If you are interested, see here for the syntax of the expression parser, see here for a full list of available functions, and see here for a full list of available constants.
Result
Click on the colored bar or the name for a method to show or hide that method.
You can also go to the sites below, enter your own ODE, and see how different numerical methods behave.