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  2. Exams
  3. GATE CE
  4. Engineering Mathematics
  5. Partial Differential Equation (PDE)
hard1 marks

Partial Differential Equation (PDE)

5 Topics
8h prep
8% subject weight
5 Topics
1

Fourier series

1m4/10
📌 Key Formulaa0/2 + Σ (an cos nx + bn sin nx)
2

separation of variables

1m4/10
📌 Key FormulaAssume u(x,t) = X(x)T(t)
3

Solutions of one dimensional diffusion equation

1m4/10
📌 Key Formula∂u/∂t = α ∂²u/∂x²
4

First and second order one-dimensional wave equation

1m4/10
📌 Key Formula∂²u/∂t² = c² ∂²u/∂x²
5

Twodimensional Laplace equation

1m5/10
📌 Key Formula∂²u/∂x² + ∂²u/∂y² = 0