"initial value problem" meaning in English

{
  "forms": [
    {
      "form": "initial value problems",
      "tags": [
        "plural"
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    }
  ],
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      "args": {},
      "expansion": "initial value problem (plural initial value problems)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "kind": "other",
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          "langcode": "en",
          "name": "Calculus",
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      ],
      "derived": [
        {
          "tags": [
            "abbreviation"
          ],
          "word": "IVP"
        }
      ],
      "glosses": [
        "The problem of solving an ordinary differential equation together with an initial condition (a set of specified values for the unknown function or its derivatives at some point)."
      ],
      "id": "en-initial_value_problem-en-noun-SYOQg~B~",
      "links": [
        [
          "calculus",
          "calculus"
        ],
        [
          "problem",
          "problem"
        ],
        [
          "ordinary differential equation",
          "ordinary differential equation"
        ],
        [
          "function",
          "function"
        ],
        [
          "derivative",
          "derivative"
        ],
        [
          "point",
          "point"
        ]
      ],
      "raw_glosses": [
        "(calculus) The problem of solving an ordinary differential equation together with an initial condition (a set of specified values for the unknown function or its derivatives at some point)."
      ],
      "synonyms": [
        {
          "word": "initial-value problem"
        }
      ],
      "topics": [
        "calculus",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "da",
          "lang": "Danish",
          "sense": "initial-value problem",
          "tags": [
            "neuter"
          ],
          "word": "begyndelsesværdiproblem"
        }
      ],
      "wikipedia": [
        "initial value problem"
      ]
    }
  ],
  "word": "initial value problem"
}

{
  "derived": [
    {
      "tags": [
        "abbreviation"
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      "word": "IVP"
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  "forms": [
    {
      "form": "initial value problems",
      "tags": [
        "plural"
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      "glosses": [
        "The problem of solving an ordinary differential equation together with an initial condition (a set of specified values for the unknown function or its derivatives at some point)."
      ],
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          "calculus",
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        ],
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        "(calculus) The problem of solving an ordinary differential equation together with an initial condition (a set of specified values for the unknown function or its derivatives at some point)."
      ],
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        "calculus",
        "mathematics",
        "sciences"
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      "wikipedia": [
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  "synonyms": [
    {
      "word": "initial-value problem"
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  ],
  "translations": [
    {
      "code": "da",
      "lang": "Danish",
      "sense": "initial-value problem",
      "tags": [
        "neuter"
      ],
      "word": "begyndelsesværdiproblem"
    }
  ],
  "word": "initial value problem"
}