Write the following odes as a system of first-order differential equations. (a) y" + 2y' + 3y = 0 (b) y"' + 2y" + y = 0

a.

b.

Step-by-step explanation:

We are given differential equation of second order in each part

We have to change given differential equation into first order differential equation

a.y''+2y'+3y=0

Suppose

Differentiate w.r.t times then we get

Substitute the values in the given differential equation then we get

b.y''+2y'+y=0

Suppose

Differentiate w.r.t time

Then we get

Substitute the values in given differential equation

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8

5+2x=a

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