What is the general form of the general solution of a non-homogeneous DE (uh(t)= general solution of the homogeneous equation, up(t)= any particular solution of the non-homogeneous equation)?

What is the general form of the general solution of a non-homogeneous DE (uh(t)= general solution of the homogeneous equation, up(t)= any particular solution of the non-homogeneous equation)? Correct Answer u(t)=uh (t)+up (t)

The general solution of an inhomogeneous ODE has the general form: u(t)=uh (t)+up (t), where uh (t) is the general solution of the homogeneous equation, up (t) is any particular solution of the non-homogeneous equation.

Related Questions

Consider the Assertion (A) and Reason (R) and select the correct answer:
Assertion (A) If one premise is particular, the conclusion must be particular.
Reason (R) (i) An affirmative particular has no distributed terms, and a negative particular has an only one.
(ii) The premises cannot both be particular and thus must differ in quantity.
How can we find the solution of a nonhomogeneous system of equations without dealing with the rank of matrices?