Question

Find the specific solution of the differential equation dy/dx=2y/x^2 with condition y(−2) = e

Answer 1

this is separable. that's where to start.

Answer 2

these are my options
y = -1 -2 / x
y = e^ - 2 / x
y = -e^ 1/x
None of these

Answer 3

separation gives

\( \dfrac{1}{y}dy=\dfrac{2}{x^2} ~ dx\)

can you take it from there and integrate both sides?