Find out general solution of the following ODES: (a) y" – 4y' = 4t+cost +e 2 (5 marks) (b) y"+ py = 0 where p is a const
Posted: Mon May 09, 2022 11:21 am
Find out general solution of the following ODES: (a) y" – 4y' = 4t+cost +e 2 (5 marks) (b) y"+ py = 0 where p is a constant (real number). p (5 marks) (c) (3x’y+6x)+(x² +3y2) dy = 0 = (5 marks) dx Hint: the following table is useful for obtaining the particular solution f(x) yp(x) C (constant) A (constant) et P., (x) xke** Q(x) P.„(x) x*Qm(x) Special case: a =0 apir xkber Special case: m = 0 ear p, (x)sin ox *** [ xherds cos exQ...(x)+sin ox0 (1) x] x*e** [cos ox2.m (X) + sin oxq.m (x)] ear P(x)cos Ox