Math Problem Statement

Elimination of arbitrary constant

Elimination of arbitrary constant in differential equations: Find the differential equations corresponding to the given functions.

Solution

The two equations provided are:

  1. ( y = (C_1 + C_

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Math Problem Analysis

Mathematical Concepts

Differential Equations
Arbitrary Constants
Elimination of Constants

Formulas

General solution of differential equations involving arbitrary constants C1, C2, C3, etc.
Differentiation to eliminate constants

Theorems

Fundamental Theorem of Calculus
Theory of Differential Equations

Suitable Grade Level

Undergraduate Mathematics

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