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manonfire315
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Homework Statement
Solve the following partially decoupled system defined for t > 0
dx/dt=x/t
dy/dt=y-3x^2
x(1)=1, y(1)=1
Homework Equations
The Attempt at a Solution
I have started the solution the way that a regular partial or fully decoupled system is started, but I have run into problems with t. I usually use x=ke^t, but in this case what would x equal when x prime is x/t.
I have...
x=ke^(1/t)
y prime=y-3(ke^(1/t)^2)