Math & Numbers

Euler Method Solver (dy/dx = f(x, y))

Explicit Euler integration for dy/dx = f(x, y): step table, final estimate, and optional exact-solution error column.

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Quick start

Call this tool from your code in three languages.

cURL

curl -X POST 'http://127.0.0.1:3003/en/api/tools/euler-method-solver' \
  -H 'Content-Type: application/json' \
  -d '{"fxy":"y","x0":0,"y0":1,"xEnd":1,"steps":10,"exactY":"e^x","decimalPlaces":6}'

API reference

Send a POST request with your inputs as JSON. File parameters require a separate upload first.

Endpoint

HTTP

POST http://127.0.0.1:3003/en/api/tools/euler-method-solver

Parameters

Name	Type	Required	Description
fxy	text	Yes	Right-hand side in terms of x and y (functions: sin, cos, exp, ln, sqrt, …). Write products with , e.g. xy.
x0	number	Yes	—
y0	number	Yes	—
xEnd	number	Yes	Must be greater than x₀.
steps	number	Yes	h = (target x − x₀)/n. More steps → smaller error, O(h) globally.

MCP integration

Add this tool to your Model Context Protocol server so AI agents can list and call it.

Server configuration

Add this block to your MCP client configuration:

mcp.json

{
  "mcpServers": {
    "elysiatools-euler-method-solver": {
      "name": "euler-method-solver",
      "description": "Explicit Euler integration for dy/dx = f(x, y): step table, final estimate, and optional exact-solution error column.",
      "baseUrl": "http://127.0.0.1:3003/mcp/sse?toolId=euler-method-solver",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

List available tools

After connecting to the SSE endpoint, list the exposed tools:

tools/list

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

Call this tool

Invoke the tool by its id, passing arguments built from its parameters:

tools/call

{
  "jsonrpc": "2.0",
  "id": 2,
  "method": "tools/call",
  "params": {
    "name": "euler-method-solver",
    "arguments": {
  "fxy": "y",
  "x0": 0,
  "y0": 1,
  "xEnd": 1,
  "steps": 10,
  "exactY": "e^x",
  "decimalPlaces": 6
}
  }
}

Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).

Questions or issues? Contact [email protected]

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