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.

Algebra ->  Finance -> 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.      Log On


   

Question 1032273: 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 Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Separate the variables,
dy%2Fy=%28x%2F3%29dx
ln%28y%29=%281%2F6%29x%5E2%2BC
y=Ce%5E%28%281%2F6%29x%5E2%29%29
When x=0,y=4,
C=4
.
.
.
y=4e%5E%28x%5E2%2F6%29%29
.
.
The exponent is x%5E2%2F6.