5. Let y = C(x) be the cost, expressed in euros, of manufacturing "x" units of a given product. The rate at which the cost changes with respect to the number of units manufactured is given by the following differential equation: (x + y²)dx - 2 xydy = 0. Find the cost as a function of the number of units manufactured, knowing that the cost of manufacturing 1 unit is €2'00.
5. Let y = C(x) be the cost, expressed in euros, of manufacturing "x" units of a given product. The rate at which the cost changes with respect to the number of units manufactured is given by the following differential equation: (x + y²)dx - 2 xydy = 0. Find the cost as a function of the number of units manufactured, knowing that the cost of manufacturing 1 unit is €2'00.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the problem of first order
Transcribed Image Text:5. Let y = C(x) be the cost, expressed in euros, of manufacturing "x"
units of a given product. The rate at which the cost changes with
respect to the number of units manufactured is given by the
following differential equation: (x + y2)dx - 2 xydy = 0. Find the cost
as a function of the number of units manufactured, knowing that the
cost of manufacturing 1 unit is €2'00.
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