求下列初值问题的解: (1)y3dx+2(x2-xy2)dy=0, y|x=1=1; (2)y〞-a(yˊ)2=0,y|x=0=0, yˊ|x=0=-1; (3)2y〞-sin2y=0,y|x=0=π/2, yˊ|x=0=1; (4)y〞+2yˊ

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问题 求下列初值问题的解:
(1)y3dx+2(x2-xy2)dy=0,    y|x=1=1;
(2)y〞-a(yˊ)2=0,y|x=0=0,  yˊ|x=0=-1;
(3)2y〞-sin2y=0,y|x=0=π/2,  yˊ|x=0=1;
(4)y〞+2yˊ+y=cosx,y|x=0=0,yˊ|x=0=3/2.

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