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Differential Equation Solver

Tool for solving differential equations (eg first degree and second degree) according to a function name and a variable.

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Differential Equation Solver -

Tag(s) : Mathematics, Symbolic Computation

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Differential Equation Solver

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Differential Equation Calculator





Tool for solving differential equations (eg first degree and second degree) according to a function name and a variable.

Answers to Questions

How to calculate a differential equation on dCode?

The equationhref must follow a strict syntax to get a solution:

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

f' + f = 0

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

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

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

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

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

What are the notations of the differential equations?

There are multiple notations for a function f:

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

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

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.

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Source code

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