Identify the Integrating Factor

Solve
y

+7x
−1
y=x
4
,y(1)=−2

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(a) Identify the integrating factor,
α(x)
.
α(x)=
(b) Find the general solution.
y(x)= Identify the Integrating Factor
Note: Use
C
for an arbitrary constant. (c) Solve the initial value problem
y(1)=−2
.
y(x)=
Solve the initial value problem
9(t+1)
dt
dy

−7y=14t
for
t>−1
with
y(0)=20
.
y= Identify the Integrating Factor

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