-log(y-4)=Const+log(x^2+1) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / / -c \ / -c \ / -c \ / -c \\\ _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / / -c \ / -c \ / -c \ / -c \\\
/ 2 2 | |/ re(c) re(c) \ | e | / re(c) re(c)\ | e | / re(c) re(c)\ | e | / re(c) re(c) \ | e ||| / 2 2 | |/ re(c) re(c) \ | e | / re(c) re(c)\ | e | / re(c) re(c)\ | e | / re(c) re(c) \ | e |||
/ / / -c \ / -c \\ / / -c \ / -c \\ |atan2|\- (-4 + re(y))*e *sin(im(c)) - cos(im(c))*e *im(y)/*re|------| + \1 + e *im(y)*sin(im(c)) - (-4 + re(y))*cos(im(c))*e /*im|------|, \1 + e *im(y)*sin(im(c)) - (-4 + re(y))*cos(im(c))*e /*re|------| - \- (-4 + re(y))*e *sin(im(c)) - cos(im(c))*e *im(y)/*im|------||| / / / -c \ / -c \\ / / -c \ / -c \\ |atan2|\- (-4 + re(y))*e *sin(im(c)) - cos(im(c))*e *im(y)/*re|------| + \1 + e *im(y)*sin(im(c)) - (-4 + re(y))*cos(im(c))*e /*im|------|, \1 + e *im(y)*sin(im(c)) - (-4 + re(y))*cos(im(c))*e /*re|------| - \- (-4 + re(y))*e *sin(im(c)) - cos(im(c))*e *im(y)/*im|------|||
/ |/ re(c) re(c) \ | e | / re(c) re(c)\ | e || |/ re(c) re(c)\ | e | / re(c) re(c) \ | e || | \ \-4 + y/ \-4 + y/ \-4 + y/ \-4 + y//| / |/ re(c) re(c) \ | e | / re(c) re(c)\ | e || |/ re(c) re(c)\ | e | / re(c) re(c) \ | e || | \ \-4 + y/ \-4 + y/ \-4 + y/ \-4 + y//|
x1 = 4 / |\- (-4 + re(y))*e *sin(im(c)) - cos(im(c))*e *im(y)/*re|------| + \1 + e *im(y)*sin(im(c)) - (-4 + re(y))*cos(im(c))*e /*im|------|| + |\1 + e *im(y)*sin(im(c)) - (-4 + re(y))*cos(im(c))*e /*re|------| - \- (-4 + re(y))*e *sin(im(c)) - cos(im(c))*e *im(y)/*im|------|| *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*4 / |\- (-4 + re(y))*e *sin(im(c)) - cos(im(c))*e *im(y)/*re|------| + \1 + e *im(y)*sin(im(c)) - (-4 + re(y))*cos(im(c))*e /*im|------|| + |\1 + e *im(y)*sin(im(c)) - (-4 + re(y))*cos(im(c))*e /*re|------| - \- (-4 + re(y))*e *sin(im(c)) - cos(im(c))*e *im(y)/*im|------|| *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\/ \ \-4 + y/ \-4 + y// \ \-4 + y/ \-4 + y// \ 2 / \/ \ \-4 + y/ \-4 + y// \ \-4 + y/ \-4 + y// \ 2 /
x1=i4((−(re(y)−4)ere(c)sin(im(c))−ere(c)cos(im(c))im(y))re(y−4e−c)+(−(re(y)−4)ere(c)cos(im(c))+ere(c)sin(im(c))im(y)+1)im(y−4e−c))2+(−(−(re(y)−4)ere(c)sin(im(c))−ere(c)cos(im(c))im(y))im(y−4e−c)+(−(re(y)−4)ere(c)cos(im(c))+ere(c)sin(im(c))im(y)+1)re(y−4e−c))2sin2atan2((−(re(y)−4)ere(c)sin(im(c))−ere(c)cos(im(c))im(y))re(y−4e−c)+(−(re(y)−4)ere(c)cos(im(c))+ere(c)sin(im(c))im(y)+1)im(y−4e−c),−(−(re(y)−4)ere(c)sin(im(c))−ere(c)cos(im(c))im(y))im(y−4e−c)+(−(re(y)−4)ere(c)cos(im(c))+ere(c)sin(im(c))im(y)+1)re(y−4e−c))+4((−(re(y)−4)ere(c)sin(im(c))−ere(c)cos(im(c))im(y))re(y−4e−c)+(−(re(y)−4)ere(c)cos(im(c))+ere(c)sin(im(c))im(y)+1)im(y−4e−c))2+(−(−(re(y)−4)ere(c)sin(im(c))−ere(c)cos(im(c))im(y))im(y−4e−c)+(−(re(y)−4)ere(c)cos(im(c))+ere(c)sin(im(c))im(y)+1)re(y−4e−c))2cos2atan2((−(re(y)−4)ere(c)sin(im(c))−ere(c)cos(im(c))im(y))re(y−4e−c)+(−(re(y)−4)ere(c)cos(im(c))+ere(c)sin(im(c))im(y)+1)im(y−4e−c),−(−(re(y)−4)ere(c)sin(im(c))−ere(c)cos(im(c))im(y))im(y−4e−c)+(−(re(y)−4)ere(c)cos(im(c))+ere(c)sin(im(c))im(y)+1)re(y−4e−c))
_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / / -c \ / -c \ / -c \ / -c \\\ _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / / -c \ / -c \ / -c \ / -c \\\
/ 2 2 | | / re(c) re(c) \ | e | / re(c) re(c) \ | e | / re(c) re(c) \ | e | / re(c) re(c) \ | e ||| / 2 2 | | / re(c) re(c) \ | e | / re(c) re(c) \ | e | / re(c) re(c) \ | e | / re(c) re(c) \ | e |||
/ / / -c \ / -c \\ / / -c \ / -c \\ |atan2|- \(-4 + re(y))*e *sin(im(c)) + cos(im(c))*e *im(y)/*re|------| - \-1 + (-4 + re(y))*cos(im(c))*e - e *im(y)*sin(im(c))/*im|------|, \(-4 + re(y))*e *sin(im(c)) + cos(im(c))*e *im(y)/*im|------| - \-1 + (-4 + re(y))*cos(im(c))*e - e *im(y)*sin(im(c))/*re|------||| / / / -c \ / -c \\ / / -c \ / -c \\ |atan2|- \(-4 + re(y))*e *sin(im(c)) + cos(im(c))*e *im(y)/*re|------| - \-1 + (-4 + re(y))*cos(im(c))*e - e *im(y)*sin(im(c))/*im|------|, \(-4 + re(y))*e *sin(im(c)) + cos(im(c))*e *im(y)/*im|------| - \-1 + (-4 + re(y))*cos(im(c))*e - e *im(y)*sin(im(c))/*re|------|||
/ |/ re(c) re(c) \ | e | / re(c) re(c) \ | e || | / re(c) re(c) \ | e | / re(c) re(c) \ | e || | \ \-4 + y/ \-4 + y/ \-4 + y/ \-4 + y//| / |/ re(c) re(c) \ | e | / re(c) re(c) \ | e || | / re(c) re(c) \ | e | / re(c) re(c) \ | e || | \ \-4 + y/ \-4 + y/ \-4 + y/ \-4 + y//|
x2 = - 4 / |\(-4 + re(y))*e *sin(im(c)) + cos(im(c))*e *im(y)/*im|------| - \-1 + (-4 + re(y))*cos(im(c))*e - e *im(y)*sin(im(c))/*re|------|| + |- \(-4 + re(y))*e *sin(im(c)) + cos(im(c))*e *im(y)/*re|------| - \-1 + (-4 + re(y))*cos(im(c))*e - e *im(y)*sin(im(c))/*im|------|| *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - I*4 / |\(-4 + re(y))*e *sin(im(c)) + cos(im(c))*e *im(y)/*im|------| - \-1 + (-4 + re(y))*cos(im(c))*e - e *im(y)*sin(im(c))/*re|------|| + |- \(-4 + re(y))*e *sin(im(c)) + cos(im(c))*e *im(y)/*re|------| - \-1 + (-4 + re(y))*cos(im(c))*e - e *im(y)*sin(im(c))/*im|------|| *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\/ \ \-4 + y/ \-4 + y// \ \-4 + y/ \-4 + y// \ 2 / \/ \ \-4 + y/ \-4 + y// \ \-4 + y/ \-4 + y// \ 2 /
x2=−i4(−((re(y)−4)ere(c)sin(im(c))+ere(c)cos(im(c))im(y))re(y−4e−c)−((re(y)−4)ere(c)cos(im(c))−ere(c)sin(im(c))im(y)−1)im(y−4e−c))2+(((re(y)−4)ere(c)sin(im(c))+ere(c)cos(im(c))im(y))im(y−4e−c)−((re(y)−4)ere(c)cos(im(c))−ere(c)sin(im(c))im(y)−1)re(y−4e−c))2sin2atan2(−((re(y)−4)ere(c)sin(im(c))+ere(c)cos(im(c))im(y))re(y−4e−c)−((re(y)−4)ere(c)cos(im(c))−ere(c)sin(im(c))im(y)−1)im(y−4e−c),((re(y)−4)ere(c)sin(im(c))+ere(c)cos(im(c))im(y))im(y−4e−c)−((re(y)−4)ere(c)cos(im(c))−ere(c)sin(im(c))im(y)−1)re(y−4e−c))−4(−((re(y)−4)ere(c)sin(im(c))+ere(c)cos(im(c))im(y))re(y−4e−c)−((re(y)−4)ere(c)cos(im(c))−ere(c)sin(im(c))im(y)−1)im(y−4e−c))2+(((re(y)−4)ere(c)sin(im(c))+ere(c)cos(im(c))im(y))im(y−4e−c)−((re(y)−4)ere(c)cos(im(c))−ere(c)sin(im(c))im(y)−1)re(y−4e−c))2cos2atan2(−((re(y)−4)ere(c)sin(im(c))+ere(c)cos(im(c))im(y))re(y−4e−c)−((re(y)−4)ere(c)cos(im(c))−ere(c)sin(im(c))im(y)−1)im(y−4e−c),((re(y)−4)ere(c)sin(im(c))+ere(c)cos(im(c))im(y))im(y−4e−c)−((re(y)−4)ere(c)cos(im(c))−ere(c)sin(im(c))im(y)−1)re(y−4e−c))
x2 = -i*((-((re(y) - 4)*exp(re(c))*sin(im(c)) + exp(re(c))*cos(im(c))*im(y))*re(exp(-c)/(y - 4)) - ((re(y) - 4)*exp(re(c))*cos(im(c)) - exp(re(c))*sin(im(c))*im(y) - 1)*im(exp(-c)/(y - 4)))^2 + (((re(y) - 4)*exp(re(c))*sin(im(c)) + exp(re(c))*cos(im(c))*im(y))*im(exp(-c)/(y - 4)) - ((re(y) - 4)*exp(re(c))*cos(im(c)) - exp(re(c))*sin(im(c))*im(y) - 1)*re(exp(-c)/(y - 4)))^2)^(1/4)*sin(atan2(-((re(y) - 4)*exp(re(c))*sin(im(c)) + exp(re(c))*cos(im(c))*im(y))*re(exp(-c)/(y - 4)) - ((re(y) - 4)*exp(re(c))*cos(im(c)) - exp(re(c))*sin(im(c))*im(y) - 1)*im(exp(-c)/(y - 4), ((re(y) - 4)*exp(re(c))*sin(im(c)) + exp(re(c))*cos(im(c))*im(y))*im(exp(-c)/(y - 4)) - ((re(y) - 4)*exp(re(c))*cos(im(c)) - exp(re(c))*sin(im(c))*im(y) - 1)*re(exp(-c)/(y - 4)))/2) - ((-((re(y) - 4)*exp(re(c))*sin(im(c)) + exp(re(c))*cos(im(c))*im(y))*re(exp(-c)/(y - 4)) - ((re(y) - 4)*exp(re(c))*cos(im(c)) - exp(re(c))*sin(im(c))*im(y) - 1)*im(exp(-c)/(y - 4)))^2 + (((re(y) - 4)*exp(re(c))*sin(im(c)) + exp(re(c))*cos(im(c))*im(y))*im(exp(-c)/(y - 4)) - ((re(y) - 4)*exp(re(c))*cos(im(c)) - exp(re(c))*sin(im(c))*im(y) - 1)*re(exp(-c)/(y - 4)))^2)^(1/4)*cos(atan2(-((re(y) - 4)*exp(re(c))*sin(im(c)) + exp(re(c))*cos(im(c))*im(y))*re(exp(-c)/(y - 4)) - ((re(y) - 4)*exp(re(c))*cos(im(c)) - exp(re(c))*sin(im(c))*im(y) - 1)*im(exp(-c)/(y - 4)), ((re(y) - 4)*exp(re(c))*sin(im(c)) + exp(re(c))*cos(im(c))*im(y))*im(exp(-c)/(y - 4)) - ((re(y) - 4)*exp(re(c))*cos(im(c)) - exp(re(c))*sin(im(c))*im(y) - 1)*re(exp(-c)/(y - 4)))/2))