Answer:
Step-by-step explanation:
2x²+7x=-3
2x²+7x+3=0
2x²+x+6x+3=0
x(2x+1)+3(2x+1)=0
(2x+1)(x+3)=0
x=-1/2,-3
so C
Answer:
A) Particular solution:

B) Homogeneous solution:

C) The most general solution is

Step-by-step explanation:
Given non homogeneous ODE is

To find homogeneous solution:

To find particular solution:

Substituting
in (1)

Equating the coefficients

The general solution is

from (2) ad (3)

It will be clearly B.38mm3