Verify that (x)= 1-ce 5x dy- where c is an arbitrary constant, is a one-parameter family of solutions to dy Substitute (x) for y and find the derivative to substitute for dy - 5y²-10y dx 2 ·OO 1-ce5x 2 (Simplify your answer.) 1-ces 5y²-10y 2 Graph the solution curves corresponding to c= 0, +1, +2 using the same coordinate axes.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Verify that (x) =
dx
dy
Substitute (x) for y and find the derivative to substitute for dx
=
=
1-ce5x
5y² - 10y
2
5
2
1- ce
2
, where c is an arbitrary constant, is a one-parameter family of solutions to
(Simplify your answer.)
2
1-ce5x
dy - 5y² - 10y Graph the solution curves corresponding to c= 0, +1, +2 using the same coordinate axes.
dx
Transcribed Image Text:Verify that (x) = dx dy Substitute (x) for y and find the derivative to substitute for dx = = 1-ce5x 5y² - 10y 2 5 2 1- ce 2 , where c is an arbitrary constant, is a one-parameter family of solutions to (Simplify your answer.) 2 1-ce5x dy - 5y² - 10y Graph the solution curves corresponding to c= 0, +1, +2 using the same coordinate axes. dx
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