Separable Differential Equations Worksheets Page 3
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7Calculus Maximus
Notes 5.1: Separable Diff EQ
Example 4:
For each of the following, find the general solution
y
f x
by algebraically manipulating the differential
dy
( )
( )
= f x
g y
equation first to the separable form
dx
dy
dy
x y
2
(a)
e
(b)
x
xy
dx
dx
Example 5:
dy
For the differential equation y
− x = 0
dx
(a) Find the general solution equation.
( )
(
)
( )
0, 4
(iii) −4,0
(b) Find the particular solutions that pass through (i) 0,4
(ii)
(iv) 0,0
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