# What is the general solution of the differential equation? : # dy/dx = 1/x^2 #

# y =-1/x + C #

We have:

We can "separate the variables" in this First Order Separable Ordinary Differential Equation to obtain:

Since both integrals are typical calculus outcomes, integrating yields:

Which is the Whole Solution?

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The general solution of the given differential equation ( \frac{dy}{dx} = \frac{1}{x^2} ) is ( y = -\frac{1}{x} + C ), where ( C ) is the constant of integration.

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