(14 (1) y "-y' - 29 = 2x²-3, 410) = 4/10) 23.
・2
qqq xp qz n y-y'-2y=0 441268& N is ^-^-2-0 (2-2) (^+1)=0
F2-2-2-cie + (22 410/21 (1>CH+C₂ 4(0)=3;
よって一般はg=c
2
* 1- 7 R2 1 57 2 6 9 2 2 2 g-y-2y=2x-3.
61-1-02
Yp = ax² + bx + cence Yp=2ax+b Jp = 2a
22-1-2.
· 3 = - Cie " + 262e2x.
3 = -(1-C^)²+2c> e* ((--)
X
+ C₂+ 262 3C2=4(C2=)
40x73 2a-2ax-b-2 (ax+bx+c) = - 2ax² + x (-2a-2b) + (za-b-2c)=2x²-3
EK
Kex -7 -20=2 a= -1 -2a-2b=0 b= | 2a-b-2c-~3 C = 03
·2·
よってyp=-x+
以上よりy
-x Y xx
e + z e - x 7x
(n-2) (211).
20. 22-1
2:0
61762=1
"y" y " 2y = 0
2-2-2
-x
2x
y = C₁e * + Cze²x y(0) = 1 (=cie + Ge" = C₁ + C₂
2X
21
y = - cie² + 20² e² 1/10)=3. 3=-C₁+2C2. C1=262-3. 262-3+C2 = 1.
362-4
3.
