Let y = C(x) be the cost, expressed in euros, of manufacturing "x" units of a given product. The rate at which cost changes with respect to the number of units manufactured is given by the following differential equation:x2 dy/dx -2xy=3y4Find the cost based on the number of units manufactured, knowing that the cost of manufacturing 1 unit of product is €0.50. Graph the solution and give a minimal interpretation of the solution found and the analysis of the graph. x2 dydx2xy = 3y4

Answered: Image /qna-images/answer/e9607eee-0545-4a4c-920f-118afa7e3a6a.jpg

Answered: x² dy - 2xy = 3y4 dx

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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Question

Let y = C(x) be the cost, expressed in euros, of manufacturing "x" units of a given product. The rate at which cost changes with respect to the number of units manufactured is given by the following differential equation:

x² dy/dx -2xy=3y4

Find the cost based on the number of units manufactured, knowing that the cost of manufacturing 1 unit of product is €0.50. Graph the solution and give a minimal interpretation of the solution found and the analysis of the graph.