SKEDSOFT

Problems-2:

9. Solve the initial value problem

Solutions: We have (D² 4D 5)y = - 2 cos hx

                i.e (D² 4D 5)y = - (e^x e^-x)

                A.E is m² 4m 5 = 0

Complete solution: y = C.F P.I

Now we apply the given initial conditions;

The required particular solution from the above equations:

10. Solve Subject to the conditions

Solutions: This question is solve with the above solution as same.