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amichae2

Math MCP Server

by amichae2

ode_solve

Numerically solve an initial value problem for an ordinary differential equation given the derivative function, initial conditions, and time span.

Instructions

Solve an initial value problem numerically.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
dydtYes
y0Yes
t_spanYes
variableNot
y_variableNoy
methodNoRK45
max_stepNo
rtolNo
atolNo
dense_outputNo
num_pointsNo

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault

No arguments

Behavior2/5

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

With no annotations, the description carries full burden for behavioral disclosure. It only gives a high-level purpose and omits details such as return format, error handling, side effects (e.g., state changes), or performance considerations.

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 a single sentence, which is concise but under-specified. It is front-loaded with the primary action, but its brevity sacrifices completeness for the number of parameters involved.

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 complexity (11 parameters, 3 required, output schema exits), the description is incomplete. It does not explain the return value structure or how the solver works, which the output schema alone may not fully convey.

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

Parameters2/5

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

Schema description coverage is 0%, so the description should clarify parameter meanings. The description adds no information about parameters like dydt (string expression format), y0, t_span, method options, or tolerance defaults, leaving the agent to guess from names alone.

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 states 'Solve an initial value problem numerically,' which clearly indicates the tool is for numerical ODE solving. However, it does not distinguish from sibling tools like dsolve (symbolic ODE) or numerical_integrate, which could cause confusion for an agent.

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 usage guidelines are provided. The description does not explain when to use this tool versus alternatives (e.g., dsolve for symbolic solutions), nor does it mention prerequisites or when not to use it.

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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