Suppose that y(x) is a nonconstant solution of the autonomous equation dy/dx = f (y) and that

Question:

Suppose that y(x) is a nonconstant solution of the autonomous equation dy/dx = f (y) and that c is a critical point of the DE. Discuss: Why can’t the graph of y(x) cross the graph of the equilibrium solution y = c? Why can’t f (y) change signs in one of the subregions discussed on page 40? Why can’t y(x) be oscillatory or have a relative extremum (maximum or minimum)?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Answer rating: 71% (14 reviews)

Recall that for dydx f y we are assuming that f and f are continuous functions of y on some i...View the full answer

Answered By

Asim farooq

I have done MS finance and expertise in the field of Accounting, finance, cost accounting, security analysis and portfolio management and management, MS office is at my fingertips, I want my client to take advantage of my practical knowledge. I have been mentoring my client on a freelancer website from last two years, Currently I am working in Telecom company as a financial analyst and before that working as an accountant with Pepsi for one year. I also join a nonprofit organization as a finance assistant to my job duties are making payment to client after tax calculation, I have started my professional career from teaching I was teaching to a master's level student for two years in the evening. My Expert Service Financial accounting, Financial management, Cost accounting, Human resource management, Business communication and report writing. Financial accounting : • Journal entries • Financial statements including balance sheet, Profit & Loss account, Cash flow statement • Adjustment entries • Ratio analysis • Accounting concepts • Single entry accounting • Double entry accounting • Bills of exchange • Bank reconciliation statements Cost accounting : • Budgeting • Job order costing • Process costing • Cost of goods sold Financial management : • Capital budgeting • Net Present Value (NPV) • Internal Rate of Return (IRR) • Payback period • Discounted cash flows • Financial analysis • Capital assets pricing model • Simple interest, Compound interest & annuities

4.40+ 65+ Reviews 86+ Question Solved

Related Book For book-img-for-question