Solve the initial value problem with piecewise right hand side where f(x) = = y(x) = y(x) = 7 if 0≤x < 4 9 if 4 < x for 0 < x < 4 for x > Hint: Your solution should be continuous at x = 4. dy dx y(0) = −3 + y = f(x)

Algebra and Trigonometry (MindTap Course List)
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Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Solve the initial value problem with piecewise right hand side
where
ƒf(x) =
=
y(x) =
y(x) =
7 if 0≤x < 4
9
if 4 ≤ x
for 0 < x < 4
for x ≥ 4
Hint: Your solution should be continuous at x = = 4.
dy
dx
¸y(0) = −3
+y = f(x)
Transcribed Image Text:Solve the initial value problem with piecewise right hand side where ƒf(x) = = y(x) = y(x) = 7 if 0≤x < 4 9 if 4 ≤ x for 0 < x < 4 for x ≥ 4 Hint: Your solution should be continuous at x = = 4. dy dx ¸y(0) = −3 +y = f(x)
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