GIA'I PHU.O.NG TRNH

108) - 201-bai-tap-phuong-trinh-vi-phan
201-bai-tap-phuong-trinh-vi-phan
108)

Gia'i phu.o.ng trnh:

y” +y

0

=xe

−x

HD gia’i:

Phu.o.ng trnh da.c tru.ng:

λ

2

+λ= 0⇔λ

1

= 0; λ

2

=−1

Nghi^e.m t^o'ng quat cu'a phu.o.ng trnh thu^an nh^at:

y=C

1

+C

2

e

−x

Tm nghi^e.m ri^eng da.ng:

y=xe

−x

(Ax+B)

K^et qua':

y=C

1

+C

2

e

−x

−(x

2

2 +x)e

−x