Find Particular Solution With Initial Condition Calculator
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Differential Equation Solver
Tool/solver for resolving differential equations (eg resolution for first degree or second degree) according to a function name and a variable.
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Differential Equation Solver - dCode
Tag(s) : Functions, Symbolic Computation
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Differential Equation Solver
- Mathematics
- Functions
- Differential Equation Solver
Differential Equation Calculator
Answers to Questions (FAQ)
How to calculate a differential equation on dCode?
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 in the diffequation.
Example: f(x) is noted 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
What is a differential equation? (definition)
How to add initial values/conditions?
It is possible to add one or more initial conditions in the corresponding box by adding the logical operator && between 2 equations.
Example: Write f'(0)=-1 && f(1)=0
How to find values of constants c?
Use known information about the function and its derivative(s) as the initial conditions of the system.
Example: The position of an object is $ h $ at the start of an experiment, write something like $ f (0) = h $
Example: Object speed is $ 0 $ after $ n $ seconds, write something like $ f'(n) = 0 $
What are the notations of the differential equations?
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.
How to solve a differential equation step by step?
The calculation steps of the dCode solver are not displayed because they are computer operations far from the steps of a student's process.
Source code
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Source : https://www.dcode.fr/differential-equation-solver
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Find Particular Solution With Initial Condition Calculator
Source: https://www.dcode.fr/differential-equation-solver