Write a first order differential equation, y'=f(x,y), such that the tangent at the point (x,y) of a solution y(x), intersects the x-axis at (x/2, 0) for x>0 and y>0. Solve the resulting equation for the initial value y(a)=1
Write a first order differential equation, y'=f(x,y), such that the tangent at the point (x,y) of a solution y(x), intersects the x-axis at (x/2, 0) for x>0 and y>0. Solve the resulting equation for the initial value y(a)=1
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 5E
Question
Transcribed Image Text:Write a first order differential equation,
y'=f(x,y), such that the tangent at the point (x,y)
of a solution y(x), intersects the x-axis at (x/2, 0)
for x>0 and y>0. Solve the resulting equation for
the initial value y(a)=1
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