xy' = y(lnx-ln y), y(-1) = -11 The ODE of this initial value problem can be transformed into a separable form, by applying a proper substitution. Use Mathematica to prove it. After having adjusted the ODE into separable form, find the general and the particular solution of y(x). You can use DSolve. 2) Make the plot of the particular solution y(x). Chose a significant interval on the x axis for plotting solution. The solution plot should be clear and indicative. For example, if we need to plot a sin(x), we will select at least one period of the sine.
xy' = y(lnx-ln y), y(-1) = -11 The ODE of this initial value problem can be transformed into a separable form, by applying a proper substitution. Use Mathematica to prove it. After having adjusted the ODE into separable form, find the general and the particular solution of y(x). You can use DSolve. 2) Make the plot of the particular solution y(x). Chose a significant interval on the x axis for plotting solution. The solution plot should be clear and indicative. For example, if we need to plot a sin(x), we will select at least one period of the sine.
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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Transcribed Image Text:xy' = y(lnx - In y), y(-1) = -11
The ODE of this initial value problem can be transformed
into a separable form, by applying a proper substitution.
Use Mathematica to prove it. After having adjusted the
ODE into separable form, find the general and the
particular solution of y(x). You can use DSolve.
2) Make the plot of the particular solution y(x). Chose a
significant interval on the x axis for plotting solution. The
solution plot should be clear and indicative. For example,
if we need to plot a sin(x), we will select at least one
period of the sine.
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