the differential equation (a) A solution curve passes

Chapter 1, Problem 6E

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QUESTION:

the differential equation (a) A solution curve passes through the point (1, ?/2). What is its slope at this point?(b) Argue that every solution curve is increasing for x > 1.(c) Show that the second derivative of every solution satisfies (d) A solution curve passes through . (0,0) Prove that this curve has a relative minimum at (0,0).

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QUESTION:

the differential equation (a) A solution curve passes through the point (1, ?/2). What is its slope at this point?(b) Argue that every solution curve is increasing for x > 1.(c) Show that the second derivative of every solution satisfies (d) A solution curve passes through . (0,0) Prove that this curve has a relative minimum at (0,0).

ANSWER:

Solution:Step 1:In this problem, we have to find the slope at and discuss about the second derivative of the differential equation .

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