Antidifferentiation & Integration Worksheet 4.1 With Answers - Calculus Maximus Page 4

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Calculus Maximus
WS 4.1: Antidif & Integration
7. Solve the following differential equations. Find the general solution, then find the particular solution
using the initial condition.
3
(a)
f x
4
x ,
f
0
6
(b)
,
h
1
4
(c)
f
x
2
,
f
2
5
,
f
2
10
h t
8
t
5
3/ 2
(d)
f
x
x
,
f
4
2
,
f
0
0
(e)
f
x
sin
x ,
f
0
1
,
f
0
6
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