First-Order ODEs
Differential equations are mathematical equations that relate a function with one or more of its derivatives. In many applications, the function represents a physical quantity, and the derivatives represent rates of change of the quantity with respect to other variables.
A first order differential equation is an equation that contains an unknown function of one real or complex variable and its derivatives with respect to that variable.
Differential equations are equations that involve derivatives. The solutions to these equations are functions that satisfy the equation.
A first-order ODE is an equation of the form
y'(x) = f(x, y)
where f is a function of x and y.
The solution to a first-order ODE is a function
y(x)
that satisfies the equation.
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