PERSAMAAN DIFERENSIAL NON HOMOGEN

(ax + by + c )dx + ( px + qy + r )dy = 0
a , b, c , p , q , r ≠ 0

p q r
= = =m
a b c

(ax + by + c )dx + m(ax + by + c )dy = 0
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dx + mdy = 0

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(x + y + 1)dx + (2 x + 2 y + 2)dy = 0

(x + y + 1)dx + (2 x + 2 y + 2)dy = 0
(x + y + 1)dx + 2(x + y + 1)dy = 0
dx + 2dy = 0
PU : x + 2 y = C

p q r
= ≠
a b c

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p q
= =m
a b

(ax + by + c )dx + (m(ax + by ) + r )dy = 0
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u = ax + by

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(x + y + 1)dx + (2 x + 2 y + 1)dy = 0

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p q r
≠ ≠
a b c

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u = ax + by + c
v = px + qy + r

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(x − 2 y − 1)dx + (2 x − y − 1)dy = 0
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