dy/dx=(x-y+5)/(x-y-2)

题目详情

▼优质解答

答案和解析

令x-y=5=t,dy/dx=1-dt/dx
原方程化为
1-dt/dx=t/(t-7),变离分量(t-7)dt-7dx
积分t^2/2-7t=-7x+c
dy/dx=(x+1)^2+(4y+1)^2+8xy+1

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