Teaching DSSSB TGT Mock Test 2025 Mathematical Science Ordinary Differential Equations Picard's Theorem
Let y' = f(x, y), y(x0) = y0 be an IVP then it has a unique solution in an interval I containing x0 if
1
f(x, y) is continuous and Lipschitz continuous in y
2
The function f(x, y) is linear and homogeneous
3
the solution to the differential equation diverge
4
the function f(t, y) is non-differentiable