2. The second order I.V.P homogeneous equation: find the solution of equation: x2y''-xy=0,y(2)=5,y'(2)=8
詳解 (共 2 筆)
詳解
set y=x^m x^2*m(m-1)[x^(m-2)]-x*m[x^(m-1)]=0 m(m-1)-m=0 m=0 , 2 y=c1+c2*x^2 y(2)=5=c1+4 c2 y'=2 c2*x y'(2)=8=4 c2 c2=2 c1=-3 y=-3+2x^2
詳解