Seperable DE

  • Thread starter alchal
  • Start date
  • #1
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Main Question or Discussion Point

QUESTION:

Solve the separable differential equation
dy/dx = sqrt(4y+64), Initial Condition: y(4)=9,
and find the particular solution satisfying the initial condition.

MY ATTEMPT:

(dy/dx)^2 = 4y+64
((dy/dx)^2)-4y = 64
,/' (((dy/dx)^2)-4y) dx = ,/' 64 dx

Is this the right method? If so, not sure how to integrate (dy/dx)^2

Any suggestions?
 

Answers and Replies

  • #2
798
34
dy/sqrt(4y+64) = dx
 
  • #3
3
0
Thank you!
 

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