Solve the initial value problem y′′+4y′+40y=0y(0)= 3y′(0)=5.

Step-by-step explanation:

Given the initial value problem y′′+4y′+40y=0 where y(0)= 3 and y′(0)=5.

Find the solution in the attached file.

Since the solution is a complex number, the solution to the second order differential equation is given as shown;

y(x) =

from the complex solution D = -2+6i

y(x) =

Substituting the initial values

when y(0) = 3, the solution becomes;

From y(x) =

at y'(0) = 5, the solution becomes;

Since c₁ = 3;

5 = 6c₂ - 2(3)

5 = 6c₂ - 6

6c₂ = 11

c₂ = 11/6

Substituting the constant into the solution to the differential equation

B). Liquid asset

Explanation:

Liquid asset refers to those assets which can be easily converted into cash. The bank accepts many forms of deposits in its different types of accounts such as savings account, current account, time deposit account, etc. The most liquid form of these is the saving account. The rate of interest on these accounts is the lowest as it provides the flexibility to the customer to withdraw the money at any time with the help of ATM or cheques.