If xy + 3e^y = 3e, find the value of

Ballestin3a

Ballestin3a

Answered question

2021-11-13

If xy+3ey=3e, find the value of y at the point where x =0

Answer & Explanation

huckelig75

huckelig75

Beginner2021-11-14Added 11 answers

xy+3e=3e (1) let x 
d dx (xy)+d dx (3ey)=d dx (3e) 
x dy  dx +y dx  dx +3ey dy  dx +0 
 d dx (uv)=udv dx +v dy  dx  
d dx ef(x)=ef(x)df dx (x) 
 dy  dx (x+3ey)+y=0 
 dy  dx =yx+3ey 
at x=0 
0.y+3ey=3e 
ey=e 
y=1 
x=0, y=1 
 dy  dx =10+3e=13e 
so, at x=0, y=-1

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