Differential Equation, Substitution?

  • Thread starter vsportsguy
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  • #1

Homework Statement


Find the particular solution to the differential equation
(x + y - 4)dx - (3x - y - 4)dy = 0
that satisfies the initial condition y=1 when x=4

Homework Equations





The Attempt at a Solution


It's not a homog. or equal D.E., therefore I think it's substitution. I don't really know how to get this problem started.
 

Answers and Replies

  • #2
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You can simplify the equation by substituting z = y + x. (Note that y = x is a solution for the initial condition x=1, y=1.) However, I don't think you'll be able to find an analytic solution. Numerical solution suggests some pretty funky behavior between 1.84 and 1.85.
 

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