A Function Y (X) Satisfies the Differential Equation $\frac { d y } { d x } = y ^ { 2 } - 4 y + 3$

question 141

Essay

A function y (x) satisfies the differential equation $\frac { d y } { d x } = y ^ { 2 } - 4 y + 3$ .(a) What are the constant solutions of the equation?
(b) For what values of $y$ is $y$ increasing?
(c) The equation shows that $\frac { d y } { d x }$ is independent of $x$ . Using this observation, what can you say about the relationship of the graphs of the non-constant solutions of the equation?

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Definitions:

Retires

The process of removing an asset from the company’s balance sheet because it has been disposed of or is no longer in use.

Capital Account Balance

Capital Account Balance is the net result of public and private international investments flowing in and out of a country, but it also refers to an individual's or company's financial statement showing the equity ownership and contributed capital.

Withdrawal

Withdrawal refers to the act of taking money out of a financial account, or the removal of participation or investment in a venture or agreement.