What is a solution to the differential equation dy/dx=x/y?
1 Answer
Nov 16, 2016
y^2 = x^2 + C
Explanation:
This is a First Order Separable Differential Equation, we can "separate the variables" to give;
intydy = intxdx
Integrating we get:
1/2y^2 = 1/2x^2 + A
:. y^2 = x^2 + 2A
:. y^2 = x^2 + C