Let `u(x)` and `v(x)` satisfy the differential equation `(d u)/(dx)+p(x)u=f(x)` and `(d v)/(dx)+p(x)v=g(x)` are continuous functions. If `u(x_1)` for some `x_1` and `f(x)>g(x)` for all `x > x_1,` prove that any point `(x , y),` where `x > x_1,` does not satisfy the equations `y=u(x)` and `y=v(x)dot`

Explanation

To prove that any point \((x, y)\) where \(x > x_1\) does not satisfy the equations \(y = u(x)\) and \(y = v(x)\), we will follow these steps:

### Step 1: Write down the differential equations
We have the following differential equations:
1. \(\frac{du}{dx} + p(x)u = f(x)\)
2. \(\frac{dv}{dx} + p(x)v = g(x)\)

### Step 2: Analyze the functions \(f(x)\) and \(g(x)\)
...