( = + − + = Dy x yyxF 0 cos ),( = + − = Dey xyxF

Soal PD Eksak :
1.
(2 x + 3y ) dx + (3x + 4y) dy = 0
F ( x, y ) = x 2 + 3 xy + 2 y 2 + D = 0 [Solusi Umum PD]
2.
(15x 2 y 2 − y 4 ) dx + (10x 3 y − 4 xy 3 + 5y 4 ) dy = 0
F ( x, y ) = 5 x 3 y 2 − xy 4 + y 5 + D = 0 [Solusi Umum PD]
3.
e x y (1 + 2 x 2 y ) dx + x 3e x y dy + D = 0
2
2
F ( x, y ) = x e x y + D = 0 [Solusi Umum PD]
2
4.
3xy 1 + x 2 dx + ⎡ (1 + x 2 ) 3 + sin y ⎤ dy = 0
⎢⎣
⎥⎦
F ( x, y ) = y (1 + x 2 )3 − cos y + D = 0 [Solusi Umum PD]
5.
(2 x cos y − e x ) dx − x 2 sin y dy = 0
F ( x, y ) = x 2 cos y − e x + D = 0 [Solusi Umum PD]
6.
( y 2 + 6 x 2 y ) dx + + (2xy + 2x 3 ) dy = 0
F ( x, y ) = y 2 x + 2 x 3 y + D = 0 [Solusi Umum PD]
7.
(3x 2 + 3xy 2 ) dx + (3x 2 y − 3y 2 + 2 y ) dy = 0
F ( x, y ) = x 3 +
8.
3 2 2
x y − y 3 + y 2 + D = 0 [Solusi Umum PD]
2
y 3 sin 2 x dx − 3y 2 cos 2 x dy = 0
F ( x, y ) = y 3 (1 + cos 2 x) + D = 0 [Solusi Umum PD]
9.
( y + 3x ) dx + x dy = 0
F ( x, y ) = 2 xy + 3x 2 + D = 0 [Solusi Umum PD]
10. (6 x + y 2 ) dx + (2 xy − 3y 2 ) dy = 0
F ( x, y ) = 3x 2 + xy 2 − y 3 + D = 0 [Solusi Umum PD]
11. (3y 2 + y sin 2 xy) dx + (6xy + x sin 2xy) dy = 0
F ( x, y ) = cos 2xy − 6 xy 2 + D = 0 [Solusi Umum PD]