What is a solution to the differential equation #(x^2)(e^y)dy/dx=4#?
1 Answer
Aug 2, 2016
Explanation:
We can separate the variables:
#x^2e^ydy/dx=4" "=>" "e^ydy=4x^-2dx#
Integrate both sides:
#inte^ydy=4intx^-2dx" "=>" "e^y=-4/x+C" "=>" "y=ln(C-4/x)#
