# Euler's Method Calculator API

> For the complete documentation index, see [llms.txt](/llms.txt).

Step an initial value problem forward with explicit Euler, with a full table and optional exact-solution error.

Use this endpoint to add the tool to your app, site, workflow, or agent without rebuilding formulas, validation, examples, and docs.

- Slug: `euler-s-method-calculator`
- Category: `math`
- Version: `2026-04-22`
- Credits per successful call: 1
- Starts on: free
- Max payload: 65536 bytes
- Privacy mode: `hash_only`
- Available on: free, starter, pro, business, scale
- Browser tool: https://miniwebtool.com/euler-s-method-calculator/

## Endpoint

`POST https://api.miniwebtool.com/v1/tools/euler-s-method-calculator/run`

## Request body

| Field | Type | Required | Description |
| --- | --- | --- | --- |
| `ode` | `str` | no | right-hand side of dy/dx = f(x, y) |
| `x0` | `float` | no | initial x |
| `y0` | `float` | no | initial y |
| `step_size` | `float` | no | step size h |
| `steps` | `int` | no | number of steps |
| `exact_solution` | `str` | no | optional exact y(x) for error comparison |

## Example request

```json
{
  "ode": "x + y",
  "x0": 0,
  "y0": 1,
  "step_size": 0.1,
  "steps": 10,
  "exact_solution": "2*exp(x) - x - 1"
}
```

## cURL

```bash
curl -X POST https://api.miniwebtool.com/v1/tools/euler-s-method-calculator/run \
  -H 'Authorization: Bearer mwt_live_YOUR_KEY' \
  -H 'Content-Type: application/json' \
  -d '{"ode":"x + y","x0":0,"y0":1,"step_size":0.1,"steps":10,"exact_solution":"2*exp(x) - x - 1"}'
```

## Response envelope

```json
{
  "request_id": "01K...",
  "tool": "euler-s-method-calculator",
  "tool_version": "2026-04-22",
  "credits_used": 1,
  "result": {}
}
```

## Errors

Errors are RFC 7807 `application/problem+json`. Branch on `code`, not `title`.

## MCP

Agents can discover and call this tool through `https://api.miniwebtool.com/mcp` or `https://api.miniwebtool.com/v1/mcp` using MCP `tools/list` and `tools/call`.

## Frequently asked

### What does the Euler's Method Calculator API do?

Step an initial value problem forward with explicit Euler, with a full table and optional exact-solution error. Use it to add this utility without rebuilding formulas, validation, examples, and documentation.

### How much does one call cost?

1 credit per successful call. Failed calls do not bill.

### What parameters are required?

Required fields: (none). Full schema at `https://api.miniwebtool.com/v1/openapi.json`.

### Is this deterministic?

Yes. Same input, same output. Tool version: 2026-04-22.