ee 2 cxy + = 4 ec 2x sin 2x cos + + − = y

Soal PD Linear :
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
y′ − y = 2e x
y′ − 2 y = cos 2 x
2
dx
− 2 xy = 6 y e y (jawaban dengan fungsi Y)
dy
dy
+ y = ex
dx
dy
( x 2 + 1)
+ xy = x 2
dx
dy
= y sin x
dx
dy + ( y − 2 sin x ) cos x dx = 0
dy
x 2 ln x ⋅
+ xy = 1
dx
dy x 2 + 2 y
=
dx
x
dy 4 ln x − 2x 2 y
=
dx
x3
Jawaban:
1.
y = 2x ex + c ex
2.
y=
3.
x = 3y 2 e y + c e y
4.
2y = e x + c e−x
5.
( x − 2 y ) x 2 + 1 = ln (x + x 2 + 1 ) + c
6.
y ⋅ e cos x = c
7.
y + 2 = 2 sin x + c e − sin x
1
+ y ln x = c
x
y = x 2 (ln x + c )
8.
9.
− cos 2x + sin 2x + c e 2x
4
2
10. x 2 y = 2 ln 2 x + c
2