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Solved: PROBLEM 58E(a) Use a CAS and the concept of level
Chapter 2, Problem 58E(choose chapter or problem)
(a) Use a CAS and the concept of level curves to plot representative graphs of members of the family of solutions of the differential equation \(\frac{d y}{d x}=-\frac{8 x+5}{3 y^{2}+1}\). Experiment with different numbers of level curves as well as various rectangular regions defined by \(a \leq x \leq b\), \(c \leq y \leq d\).
(b) On separate coordinate axes plot the graphs of the particular solutions corresponding to the initial conditions: y(0) = -1; y(0) = 2; y(-1) = 4; y(-1) = -3.
Text Transcription:
dy/dx = -8x + 5/3y^2 + 1
a leq x leq b
c leq y leq d
Questions & Answers
QUESTION:
(a) Use a CAS and the concept of level curves to plot representative graphs of members of the family of solutions of the differential equation \(\frac{d y}{d x}=-\frac{8 x+5}{3 y^{2}+1}\). Experiment with different numbers of level curves as well as various rectangular regions defined by \(a \leq x \leq b\), \(c \leq y \leq d\).
(b) On separate coordinate axes plot the graphs of the particular solutions corresponding to the initial conditions: y(0) = -1; y(0) = 2; y(-1) = 4; y(-1) = -3.
Text Transcription:
dy/dx = -8x + 5/3y^2 + 1
a leq x leq b
c leq y leq d
ANSWER:Step 1 of 8
In this question, By using the CAS and and the concept of level curve we have to plot and graph after solving the given differential equation and we get