Solving this diffEq

  • Thread starter pergradus
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  • #1
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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?

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
34,688
6,394

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.
 

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