1 3. Verify that y = x+1 is a solution of the differential equation y" + 2yy' = 0, y(0) = 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 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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3. Verify that y =
is a solution of the differential equation y" + 2yy' = 0, y(0) = 1.
x+1
4. A solution curve for a DE has the shape of an exponential equation. Given its graph, find the
equation of the solution curve.
fo
50
y
25
25
50
75
5. Given the sketch of the derivative function y' = f(x), sketch the direction field and label all
stable and unstable equilibria. (3 pts)
4
y
8.
Transcribed Image Text:3. Verify that y = is a solution of the differential equation y" + 2yy' = 0, y(0) = 1. x+1 4. A solution curve for a DE has the shape of an exponential equation. Given its graph, find the equation of the solution curve. fo 50 y 25 25 50 75 5. Given the sketch of the derivative function y' = f(x), sketch the direction field and label all stable and unstable equilibria. (3 pts) 4 y 8.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,