i am really confused and dont know how to solve the questions on the attachtment.
For the first problem, first put in standard form
then divide but
Let which transform the equation to
Now this is linear so you should be able to solve.
For the third, if we seek solutions of the form
then characteristic equation is
from which we obtain
which give the complementary solution is
For a particular solution try a solution of the form
substitute in the ODE and compare like terms - this will give two equations for A and B.