Question

$(3y+7) \frac{\partial u}{\partial x} + (9x+5) \frac{\partial u}{\partial y}=0$

Find a solution that is acceptable given the conditions that u(0,0) = 6 and that u_x(0,0) = 2

Answer 1

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. The Urni a xo) yes .:) de ceal general solution is acqx45x 2 (dy ty) -al n't sur 2 y_ zi) е. be? ( 42 x 750m 2 y = 24) where pe cd consant boten -b2 qx+.5) (@x+5) 07694750-24? 2) - c d is a Un ? U(0,0) 6 be > b=6 Un (oo) 2 2 -pa (a xo + 5 5) e Бр? ә) 2 5p ro a 2 s ㅋ 2 = is 30 15. soention i di The required This ( q xr750)- tis (² yrt. Fy) U (vy) 6 e 210 x 77 75 - Toy" - 1 15 15. Y = Ge CSscanned with CamScanner