GATE CE 2020 Set 1 — Question 11
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Engineering Mathematics → Partial Differential Equations
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Question
In the following partial differential equation, is a function of and , and and are functions of
The above equation is
The above equation is
Correct answer
(C) a second order non-linear equation
Solution
1.Order: The highest order derivative present in the equation is , which is of the second order. Therefore, the equation is a second-order partial differential equation.
2.Linearity: An equation is linear if the dependent variable () and its derivatives appear only to the first power and are not multiplied together. Here, the coefficients and are functions of the dependent variable . This makes the equation non-linear.
Thus, the equation is a second order non-linear equation.Continue learning with Success Tracker
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