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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?

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?