Civil Engineering > GATE 2024 SET-1 > Differential Equations
The second-order differential equation in an unknown function 𝑢: 𝑢(𝑥, 𝑦) is defined as
2𝑢/∂𝑥2 = 2
Assuming 𝑔: 𝑔(𝑥), 𝑓: 𝑓(𝑦), and ℎ: ℎ(𝑦), the general solution of the above differential equation is
A
u = x2 + f(y) + g(x)
B
u = x2 + x f(y) + h(y)
C
u = x2 + x f(y) + g(x)
D
u = x2 + f(y) + y g(x)

Correct : b

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