- #1
gtfitzpatrick
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Homework Statement
sin(y)[itex]\frac{ \partial u}{ \partial x} + \frac{ \partial u}{ \partial y} = (xcos(y)-sin^2(y))u[/itex]
where ln(u(x,[itex]\frac{\pi}{2})) = x^2 + x - \frac{\pi}{2}[/itex] for [itex]-1 \leq x \leq 3[/itex]
determine the characteristic curves in the xy plane and draw 3 of them
determine the general solution of this pde
determine the particular solution and show that u(0,0) = e
sketch the region of influence of the initial conditions
Homework Equations
The Attempt at a Solution
dy/dx = 1/siny this gives K = x + cosy
if i draw this out is it a cos wave along the y-axis and to draw 3 of them i let k = 0,1,2?
what happens as i add k?