Use the method for solving homogeneous equations to solve the following differential equation.\\
$\frac{dx}{dt} = \frac{x^2 + 5t\sqrt{4t^2 + x^2}}{tx}$ \\
Ignoring lost solutions, if any, an implicit solution in the form F(t,x) = C is $\boxed{} = C$, where C is an arbitrary constant.\\
(Type an expression using x and t as the variables.)