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Hint: Find two different values of t on the graph with the same y(t) value: one where y'(t) > 0, and one where y'(t) <0. Don't forget to use the ODE

Hint: Find two different values of t on the graph with the same y(t) value: one where y'(t) > 0, and one where y'(t) <0. Don't forget to use the ODE

Calculus For The Life Sciences
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.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
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Can you help show that the function y(t) whose graph is in the image below cannot be a solution of an ordinary differential equation of the form y′(t) = f(y(t))

y y(t) vü Hint: Find two different values of t on the graph with the same y(t) value: one where y'(t) > 0, and one where y'(t) < 0. Don't forget to use the ODE
Transcribed Image Text:y y(t) vü Hint: Find two different values of t on the graph with the same y(t) value: one where y'(t) > 0, and one where y'(t) < 0. Don't forget to use the ODE
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