GIA'I H^E. PHU.O.NG TRNH

195)

Gia'i h^e. phu.o.ng trnh:

dydt =x−5 sint.HD gia’i:

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

(x =C

₁

e

^−t

+ 2C

₂

e

^2t

y =−C

₁

e

^t

+C

₂

e

^2t

.

Bi^en thi^en hang s^o d^e' du.o..c nghi^e.m:

(x =C

₁

e

^−t

+ 2C

₂

e

^2t

+

⁸

₃

sint+

⁴

₃

costy =−C

₁

e

^t

+C

₂

e

^2t

+ 2 cost−sint.dxdt =x−2y+e

^t