Solve the given differential equation by using an appropriate substitution. the de is of the form dy dx = f(ax by c), which is given in (5) of section 2.5. dy dx = (x y 3)2

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Solution for the differential equation xdx + (y - 2x)dy = 0 is x/(y(x) - 1) + log((y(x) - x)/x) c1 - log(x)

What is differential equation?

A differential equation in mathematics is an equation that connects the derivatives of one or more unknown functions. Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.

One or more terms as well as the derivatives of the dependent variable in respect to the independent variable make up a differential equation (i.e., independent variable) dydx. = f (x) The independent variable in this case is "x," while the dependent variable is "y." For instance, dydx.

A function y=f(x) that satisfies the differential equation when f and its derivatives are replaced into the equation is a solution to a differential equation.

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