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PYQs Based Test - 15 : Partial Differential Equation

Medium 10 Questions 180 min 16 marks

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180 min · 16 marks · Full test mode with leaderboard

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Question No: 1Difficulty: mediumMarks: 1mcq

The partial differential equation \frac{\partial ^{2} ϕ}{\partial x ^{2}} + \frac{\partial ^{2} ϕ}{\partial y ^{2}} + (\frac{\partial ϕ}{\partial x}) + (\frac{\partial ϕ}{\partial y}) = 0 has

Question No: 2Difficulty: mediumMarks: 1mcq

Consider a function u which depends on position x and time t . The partial differential Equation \frac{\partial u}{\partial t} = \frac{\partial ^{2} u}{\partial x ^{2}} is known as the:

Question No: 3Difficulty: mediumMarks: 1mcq

The type of partial differential equation \frac{\partial ^{2} P}{\partial x ^{2}} + \frac{\partial ^{2} P}{\partial y ^{2}} + 3 \frac{\partial ^{2} P}{\partial x \partial y} + 2 \frac{\partial P}{\partial x} - \frac{\partial P}{\partial y} = 0 is

Question No: 4Difficulty: mediumMarks: 1mcq

The partial differential equation \frac{\partial u}{\partial t} + u \frac{\partial u}{\partial x} = \frac{\partial ^{2} u}{\partial x ^{2}} is a

Question No: 5Difficulty: mediumMarks: 2mcq

The solution of the partial differential equation \frac{\partial u}{\partial t} = α \frac{\partial ^{2} u}{\partial x ^{2}} is of the form

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