作业帮求微分方程dy/dx=x²+y²的通解.
来源：学生作业帮助网 编辑：作业帮 时间：2024/09/06 10:24:18
x){uO;ڞM|EwJ~Jmv%~>eì$铪EΆ,{j4 ar) .TXIbQrIb^-vV9p1M<;Kl
] h]
C}M 8#}XhXm 1
]#ZcdH8
2n5F
0H
8US1Hx:;" 4
求微分方程dy/dx=x²+y²的通解.
求微分方程dy/dx=x²+y²的通解.
求微分方程dy/dx=x²+y²的通解.
dy/(1+y²)=dx/(1+x²)
arctany=arctanx+C
y=tan(arctanx+C)
(-BesselJ[-(1/4), x^2/2] C[1] +
x^2 (-2 BesselJ[-(3/4), x^2/2] - BesselJ[-(5/4), x^2/2] C[1] +
BesselJ[3/4, x^2/2] C[1]))/(2 x (BesselJ[1/4, x^2/2] +
BesselJ[-(1/4), x^2/2] C[1]))
MATHEMATICA