GATE ME 2014 Set 2 — Question 37
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Engineering Mathematics → Differential Equations → First-Order Equations
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Question
The general solution of the differential equation , with as a constant, is
Correct answer
(D) tan((x + y)/(2)) = x + c
Solution
Let . Differentiating with respect to :
Substitute into the original equation:
Using the identity :
Substituting back :
This matches option (D).
Substitute into the original equation:
Using the identity :
Substituting back :
This matches option (D).
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