dy=a*dx*dxa为常数求积分：x=0到x=h

Question

dy=a*dx*dx a为常数 求积分：x=0 到 x=h

Answer 1

dy/dx=a+b/y a.b为常数 ,求y=f（x）=?
本题积分结果为：
y = ax + (b/a) ln (ay + b) + C
验证：
dy/dx = a + (b/a) [1 / (ay+b)]*a*dy/dx
dy/dx = a + [ b / (ay+b) ] dy/dx
dy/dx [1 - b / (ay+b) ] = a
dy/dx [ay / (ay + b)] =a
dy/dx = a(ay + b) / (ay) = a + b / y
结果正确.