Page 20 - Buku PD 2020 Lengkap Pak Panjaitan

 9ydy + 4xdx = k

9 y 2 + 4 x 2 = k

2 2
9y 2 + 4x 2 = 2k

y 2 + x 2 = 2k
4 9 18

y 2 + x 2 = ,  2k 
c
 =c

4 9  18 
 Penyelesaian Umum P.D dalah:

x 2 + y 2 = c
9 4

Soal Latihan

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

2. 4ydy + 2xdx = 0

Jawaban
3
1. x + (y 2+ ) = c, (c = ) k 3
3
4y 2 + 2x 2 = ,  2k 

 =c
c
2 2  2 
2.

18