# Solving this diffEq

## Homework Statement

I have the differential equation:

x' = 2*x1/2

## The Attempt at a Solution

I can see easily that the solution x = t2 satisfies the equation, however wolfram tells me the solution is:

1/4 (4 t2 + 4 t C + C2)

which also satisfies the solution... I'm wondering how do I solve this diffeq in order to get the solution Mathematic got?

## The Attempt at a Solution

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## Homework Statement

I have the differential equation:

x' = 2*x1/2

## The Attempt at a Solution

I can see easily that the solution x = t2 satisfies the equation, however wolfram tells me the solution is:

1/4 (4 t2 + 4 t C + C2)

which also satisfies the solution... I'm wondering how do I solve this diffeq in order to get the solution Mathematic got?
This DE is separable. Write it as
dx/dt = 2x1/2
=> dx/(2x1/2) = dt

Now integrate both sides. Don't forget the constant of integration.