where u_x is u(x,y) differentiated with respect to x and u_xy is u(x,y) twice differentiated with respect to x and with respect to y
How would I go about solving this?
Thanks for any help.
Since only differentiation with respect to y is involved, you can solve that as the ODE
. Of course, the "constant" may be a function of x. What does that give you for v? What does that make the orginal equation?
Remember that the general solution to a partial differential equation may involve unknown functions of the variables rather than unknown constants.