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

'exact differential equation'dy/dx=(x^2-y^2)/2*x*y'

[Star Strider]

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]

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

Answer 1

[madhan ravi]

syms y(x)
ode=2*x*y*(diff(y))==(x^2)-(y^2)
sol=dsolve(ode)

[madhan ravi]

@abcdr didn’t it work?

[abcdr]

@madhan ravi. It did work. Thank you.

[madhan ravi]

if it worked please accept the answer

[Stephan]

Acceptd answer since questioner didnt.

[madhan ravi]

thank you @Stephen, Danke schön