How do I solve the following p.d.e. (from my assignment): Find the complete integral of $2u_1xz + 3u_2y^2 + (u_2)^2u_3 = 0 $ using Jacobi's Method
I got the characteristic equations as $\frac{dx}{2xz} = \frac{dy}{3y^2+2u_2u_3} = \frac{dz}{(u_2)^2} = \frac{du_1}{-2u_1z} = \frac{du_2}{-6u_2y} = \frac{du_3}{-2u_1x}$
From this I get $\frac{dx}{x} =\frac{du_1}{-u_1}$ which gives $u_1x = c$
However, I seem to have difficulties proceeding further. Please help me out.