Difficulty distribution
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2questions
Easy
2
100%
Partial Differential Equations - Mathematics Previous Year Questions
Practice Partial Differential Equations - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.
2Papers
2Years
2Questions
1Topics
Partial Differential Equations question pattern
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2questions
MCQ
2
100%
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Included previous year papers
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| Paper | Year / session | Questions in this view | Open |
|---|---|---|---|
| Mathematics (MA) 2026 | 2026 | 1 | View paper |
| Mathematics (MA) 2007 | 2007 | 1 | View paper |
Sample previous year questions
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2007 · Mathematics · Partial Differential Equations · Characteristics and PDE Classification
Mathematics (MA) 2007
Let \(u(x, y) = f(xe^y) + g(y^2 \cos(y))\), where \(f\) and \(g\) are infinitely differentiable functions. Then the partial differential equation of minimum order satisfied by \(u\) is
2026 · Mathematics · Partial Differential Equations · Heat, Wave and Laplace Equations
Mathematics (MA) 2026
Consider the Laplace equation \(\frac{\partial^2 T}{\partial x^2} + \frac{\partial^2 T}{\partial y^2} = 0\), \(0 < x < 1\), \(0 < y < 1\), with the boundary conditions
\[T(x,0) = x, \quad T(0,y) = y\]
\[T(x,1) = 1 + x, \quad T(1,y) = 1 + y.\]
Then the value of \(T\left(\frac{1}{2}, \frac{1}{2}\right)\) is equal to