Question:

The second-order differential equation in an unknown function u: u(x, y) is defined as:\(\frac{\partial^2u }{\partial x^2 } =2\)
Assuming g: g(x), f: f(y), and h: h(y), the general solution of the above differential equation is

Updated On: Jul 17, 2024
  • \(u=x^2+f(y)+g(x)\)
  • \(u=x^2+xf(y)+h(x)\)
  • \(u=x^2+xf(y)+g(x)\)
  • \(u=x^2+f(y)+yg(x)\)
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The Correct Option is B

Solution and Explanation

The correct option is (B) :\(u=x^2+xf(y)+h(x)\)
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