数学物理方程(王明新等，清华大学出版社) 课后习题答案new

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.:f"R1§1.1CG...............................................1

2、§1.2...............................................1

3、.....50<'+C
.63§4.1CG...............................................63§4.2...............................................64<'~
.70§5.1CG...............................................70§5.2...............................................72§5.3'_..................................

4、.........852=(?/;93BbZF`/;g#S℄§1.1tyBv$Æyu<5Z,br℄

5、r—eybr,'n?ur℄ÆarFu-biniE(-yH

6、di!Z,TXCm?Heg3~v,Dn[/AZZdiv~vdx=~v

7、·~ndS,(1.1)Ω∂Ωg~n1∂Ω*


8、TBp%u.Zd}ee2:1t=tt=t2−1=wl[a,b]×[t1,t2]+qwlp%uTZd}TZd}4ZA}.4ZA}0ZbZbZt2ZbZt2ρut

9、t=t2dx−ρut

10、t=t1dx=f0dxdt+[T(b)sinαb−T(a)sinαa]dt.aat1at1tYuxuxsinαa=p2≈ux

11、x=a,sinαb=p2≈ux

12、x=b,1+uxx=a1+uxx=beYZbZt2Zbρ(x)uttdtdx=ρ(x)[ut(x,t2)−ut(x,t1)]dxat1aZt2ZbZt2=f0dxdt+[T(b)ux(b,t)−T(a)ux(a,t)]dtt1at1Zt2

13、ZbZt2Zb=f0dxdt+(T(x)ux)xdxdt.t1at1a[FubiniE(-yH