Solve the given initial-value problem. dx dt dy dt x(1) = 0, y(1) = 1 -5(t-1) x(t) = y(t) = = e = -9x - y = 16x - y + te -4e -5(t+1) X ‚−5(t−1) – (4t+1)e¯5(t+1) X

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
Section11.2: Linear First-order Differential Equations
Problem 2YT: YOUR TURN Solve the initial value problem dydx+2xyxex2=0 with y(0)=3.
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Solve the given initial-value problem.
dx
dt
dy = 16x - y
dt
x(1) = 0, y(1) = 1
-5(t-1)
x(t)
=
y(t) =
e
= -9x - y
-4e
+ te
-5(t-1)
-5(t+1)
X
-5(t+1)
(4t+1)e
Transcribed Image Text:Solve the given initial-value problem. dx dt dy = 16x - y dt x(1) = 0, y(1) = 1 -5(t-1) x(t) = y(t) = e = -9x - y -4e + te -5(t-1) -5(t+1) X -5(t+1) (4t+1)e
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