SOLUTION: use the differential equation given by dy/dx=xy/3, y > 0. Find the particular solution y = f(x) to the given differential equation with the initial condition f(0) = 4.

SOLUTION: use the differential equation given by dy/dx=xy/3, y > 0. Find the particular solution y = f(x) to the given differential equation with the initial condition f(0) = 4.

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Question 1032274: use the differential equation given by dy/dx=xy/3, y > 0.
Find the particular solution y = f(x) to the given differential equation with the initial condition f(0) = 4.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The differential equation becomes
==> for some undetermined constant c.
==> lny = 0 + c = c ==>, or
. (Notice the restriction to the y-values y > 0.)
In exponential form, the solution is , or .

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