# Math Help - Differential Equation

1. ## Differential Equation

Let be a positive number. Consider the differential equation

Find the length of the maximal interval on which this differential equation has a solution.

1. I divided the from both sides which yields

2. I integrated both sides

3. Since f(0)=0, then

So, would the maximal interval be ?

Thank you for your time.

2. Originally Posted by Paperwings
Let be a positive number. Consider the differential equation

Find the length of the maximal interval on which this differential equation has a solution.

1. I divided the from both sides which yields

2. I integrated both sides

3. Since f(0)=0, then

So, would the maximal interval be ?

Thank you for your time.
Yes, except note that you did not maintain the ' on the f'(x) after the first step

3. Ah yes, thank you.