大学高等数学急救原题如下:solvetheinitialvalueproblem.y''+xy'+(2x^2+1)y=0,y(0)=1,y'(0)=-1.Calculateanapproximatevalueofy(1/2)usingthefirstfivetermsofthepowerseries.Howmuchwouldthisvaluechangeifyouinsteadusedthe

Question

大学高等数学 急救
原题如下:
solve the initial value problem.
y''+xy'+(2x^2+1)y=0,y(0)=1,y'(0)=-1.
Calculate an approximate value of y(1/2) using the first five terms of the power series.How much would this value change if you instead used the first six terms of the power series?
不可以 用matlab

Answer 1

欧拉方程~
具体解法查下书吧