Question

The linear differential equation \[ a_0\frac{d^ny}{dx^n}+a_1\frac{d^{n-1}y}{dx^{n-1}}+\cdots+a_ny=F(x) \] is non-homogeneous if:

• A. \(F(x)=0\)
• B. \(F(x)\neq 0\)
• C. Degree is greater than order
• D. Order is greater than degree

Hint:

For a linear differential equation, right-hand side \(0\) means homogeneous and right-hand side non-zero means non-homogeneous.

Answer 1

The Correct Option is B