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amichae2

Math MCP Server

by amichae2

dsolve

Solve ordinary differential equations symbolically. Supports initial conditions and solving method hints.

Instructions

Solve ordinary differential equations symbolically.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
equationYes
functionNoy(x)
icsNo
hintNodefault

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault

No arguments

Behavior2/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

The description lacks behavioral details beyond 'solve'. It does not disclose potential errors, complexity, or side effects. Since no annotations are provided, the description carries full burden, and it fails to inform about behavior like handling of unsolvable equations or default methods.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness3/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is extremely concise (one sentence), which is positive, but it omits essential information about parameters and usage. It is not well-structured for an agent to understand how to use the tool effectively.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness2/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Given the lack of annotations, low schema coverage, and no output schema details, the description is incomplete. It does not cover return format, examples, or edge cases. For a symbolic ODE solver, more detail is needed for correct usage.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters1/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

The description does not explain any of the four parameters (equation, function, ics, hint) beyond the main action. With 0% schema coverage, the agent has no guidance on how to use 'ics' or 'hint', leading to likely incorrect invocations. The defaults and titles in the schema are not sufficient.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description clearly states it solves ordinary differential equations symbolically. The verb and resource are specific, and the use of 'symbolically' distinguishes it from potential numerical solvers like the sibling 'ode_solve'. However, it does not explicitly contrast with 'ode_solve'.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

No guidelines are provided on when to use this tool versus alternatives like 'ode_solve' (likely numerical). There is no mention of prerequisites, limitations, or typical use cases.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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