What is a solution to the differential equation dy/dx=y/x?
1 Answer
Aug 2, 2016
Explanation:
We can separate the variables:
dy/dx=y/x" "=>" "dy/y=dx/x
Integrate both sides:
intdy/y=intdx/x" "=>" "ln(y)=ln(x)+C
So:
y=e^(ln(x)+C)=e^ln(x)*e^C=Cx