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
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
Assuming g: g(x), f: f(y), and h: h(y), the general solution of the above differential equation is
Updated On: Feb 3, 2026
- \(u=x^2+f(y)+g(x)\)
- \(u=x^2+xf(y)+h(x)\)
- \(u=x^2+xf(y)+g(x)\)
- \(u=x^2+f(y)+yg(x)\)
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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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