Tool/solver for resolving differential equations (eg resolution for first degree or second degree) according to a function name and a variable.

Differential Equation Solver - dCode

Tag(s) : Functions, Symbolic Computation

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Tool/solver for resolving differential equations (eg resolution for first degree or second degree) according to a function name and a variable.

The equation must follow a strict syntax to get a solution in the differential equation solver:

- Use ' to represent the derivative of order 1, ' ' for the derivative of order 2, ' ' ' for the derivative of order 3, etc.

Example: f' + f = 0

- Do not indicate the variable to derive from the equation.

Example: f(x) is marked f and the variable x must be specified in the variable input.

Example: $ f' + f = 1 \Rightarrow f(x) = c_1 e^{-x}+1 $ with $ c_1 $ a constant

- Only the function is differentiable and not a combination of function

Example: (1/f)' is invalid but 1/(f') is correct

A differential equation (or diffeq) is an equation that relates an unknown function to its derivatives (of order n).

Example: g'' + g = 1

There are homogeneous and particular solution equations, nonlinear equations, first-order, second-order, third-order, and many other equations.

Use known information about the function and its derivative(s) as the initial conditions of the system.

There are multiple notations for a function f:

Example: $$ f'(x) = \frac{\mathrm{d} f(x)}{\mathrm{d}x} $$

Example: $$ f''(x) = \frac{\mathrm{d}^2 f(x)}{\mathrm{d}x^2} $$

The apostrophe indicates the order/degree of derivation, the letter in parenthesis is the derivation variable.

The exponent indicates the order/degree of derivation, the letter of the denominator is the derivation variable.

The calculation steps of the dCode solver are not displayed because they are computer operations far from the steps of a student's process.

dCode retains ownership of the source code of the script Differential Equation Solver online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, Matlab, etc.) which dCode owns rights will not be released for free. To download the online Differential Equation Solver script for offline use on PC, iPhone or Android, ask for price quote on contact page !

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Source : https://www.dcode.fr/differential-equation-solver

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