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

184)

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

dydt + 3x+y= 05−λ 3= 0⇔λ= 2

(b^o.i 2)

HD gia’i:

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

−3 −λ−1a−3b= 3d⇒

nghi^e.m co da.ng

^at_ct+⁺_d^be

^2t

thay vao h^e.

^⇒a+c= 0c+ 3b =−3d

Cho

^{a =C}

1

, b=C

₂

⇒c=−C

₁

, d= C

₁

3 −C

₂

x= (C

₁

t+C

₂

)e

^2t



V^a.y nghi^e.m t^o'ng quat:

y= (−C

₁

t+C

₁

3 −C

₂

)e

^2t

.dxdt = 2x−3y