Antidifferentiation & Integration Worksheet - 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.
 
 
 
 
 
 
 

f 
 ,
 
 ,
 ,
3
(a)
f x
4
x
,
f
0
6
(b)
h t
8
t
5
h
1
4
(c)
f
x
2
2
5
f
2
10
 
 
 
 
 
 

f 

f 
 ,
 ,
3/ 2
(d)
f
x
x
,
4
2
f
0
0
(e)
f
x
sin
x
,
0
1
f
0
6
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