Question

Solve the differential equation dy/dx = 1/x^2 with conditions of x,y ( 1,0)

Answer 1

\[y=\int\limits \frac{ 1 }{ x^2 }dx=\int\limits x ^{-2}dx==?\]

Answer 2

y = -2/ x^2 + C ?

Answer 3

C= 2?

Answer 4

\[y=\frac{ x ^{-2+1} }{ -2+1 }+c=-\frac{ 1 }{ x }+c \]
find c