设函数y=y(x)由方程y+arcsinx=ex+y确定,求dy.
将方程两端求微分,得dy+darcsinx=dex+y, 即dy+[1/√1-x2 ]dx=ex+y(dx+dy),得dy={[(√1-x2)ex+y-1]/√1-x2(1-ex+y)}dx
设函数y=y(x)由方程y+arcsinx=ex+y确定,求dy.
将方程两端求微分,得dy+darcsinx=dex+y, 即dy+[1/√1-x2 ]dx=ex+y(dx+dy),得dy={[(√1-x2)ex+y-1]/√1-x2(1-ex+y)}dx