How can we get the solution for an 'exact differential equation' dy/dx=(x^2-y^2)/2*x*y in matlab

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abcdr
abcdr 2018-9-30
评论： madhan ravi 2018-10-11
'exact differential equation'dy/dx=(x^2-y^2)/2*x*y'
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Star Strider
Star Strider 2018-9-30
You seem to have omitted the LHS.
dxdt = (x^2-y^2)/2*x*y
dydt = (x^2-y^2)/2*x*y
dxdy = (x^2-y^2)/2*x*y
dydx = (x^2-y^2)/2*x*y
or something else?
abcdr
abcdr 2018-9-30
My bad. The equation is 2*x*y*(dy/dx)=(x^2)-(y^2). This is an exact equation. How do we find the solution of an exact differential equation in matlab

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madhan ravi
madhan ravi 2018-10-1 
syms y(x)
ode=2*x*y*(diff(y))==(x^2)-(y^2)
sol=dsolve(ode)
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