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## Homework Statement

Using the technique involving variable separation, solve the following differential equation and use the initial condition to find the particular solution

[itex]\frac{dy}{dt}[/itex] = [itex]\frac{1}{y^{2}}[/itex] y(0) = 1

## Homework Equations

## The Attempt at a Solution

To be honest, could someone show me how to solve this one as I cannot seem to understand how to get to the book answer of y=(3t+1)[itex]^{1/3}[/itex] .

I understand that the y^2 should move to the left so that it becomes dy/y^2 but im not sure how to progress with this?