Teaching JKPSC Lecturership Mock Test Series 2024-25 Mathematical Science Partial Differential Equations Lagrange and Charpit Methods
Let u(x, y) be the solution of the Cauchy problem
uux + uy = 0, x ∈ ℝ, y > 0,
u(x, 0) = x, x ∈ ℝ.
Which of the following is the value of u(2, 3)?
1
2
2
3
3
1/2
4
1/3