Teaching DSSSB TGT Mock Test 2025 Mathematical Science Partial Differential Equations Cauchy Problem For First Order PDE
The Cauchy problem
\(y \frac{\partial z}{\partial x}-x \frac{\partial z}{\partial y}=0\)
and x0(s) = cos(s), y0(s) = sin(s), z0(s) = 1, s > 0 has
1
a unique solution
2
no solution
3
more than one but finite number of solutions
4
infinitely many solutions