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dy = dx Write a differential equation of the form = f(x, y) having the function y = g(x), as described by the following geometric property of its graph, as its (or one of its) solution(s): The line tangent to the graph of g at the point (x, y) intersects the x-axis at the point (1,0). Hint: Write the point-slope form of the equation for the tangent line, with point (1,0) and slope y'.

dy = dx Write a differential equation of the form = f(x, y) having the function y = g(x), as described by the following geometric property of its graph, as its (or one of its) solution(s): The line tangent to the graph of g at the point (x, y) intersects the x-axis at the point (1,0). Hint: Write the point-slope form of the equation for the tangent line, with point (1,0) and slope y'.

Advanced Engineering Mathematics
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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This is a practice question from my Differential Equations course. Thank you.

dy dx Write a differential equation of the form f(x, y) having the function y = g(x), as described by the following geometric property of its graph, as its (or one of its) solution(s): The line tangent to the graph of g at the point (x, y) intersects the x-axis at the point (1,0). = Hint: Write the point-slope form of the equation for the tangent line, with point (,0) and slope y'.
Transcribed Image Text:dy dx Write a differential equation of the form f(x, y) having the function y = g(x), as described by the following geometric property of its graph, as its (or one of its) solution(s): The line tangent to the graph of g at the point (x, y) intersects the x-axis at the point (1,0). = Hint: Write the point-slope form of the equation for the tangent line, with point (,0) and slope y'.
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