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    • Thread Starter

    I have to solve ux - 8uy -5u + 10 = 0 subject to the inital conditions u(x,1)=0

    Am i right in assuming that the general solution to an equation of this form is

    u(x,y) = f(bx-ay)exp((c(ax + by))/a^2 + b^2)) - d/c

    so plugging in a=1 b=-8 c=5 d=-10

    u(x,y) = f(-8x-y)exp((5x-40y)/65) + 2=0

    u(x,1) = f(-8x-1)exp(5x-40)/65) + 2 = 0

    Is my method correct? how do i proceed from here?
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Updated: April 5, 2013
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