Find y as a function of t if 49y" + 42y' + 13y = 0, y(0) = 8, y'(0) = 5. y(t) =

Step-by-step explanation:

Given:

  49y''+42y'+13y=0    ,y(0)=8,y'(0)=5  

Lets take  a y''+by'+c=0  is a differential equation.

So auxiliary equation will be

So according to given problem our  auxiliary equation will be

Then the roots of above equation

  But D in the above question is negative so the roots of equation will be imaginary ().

By solving m= -0.428+0.285i  , -0.428-0.285i,

  m=

So

So now by using giving condition we will find

So        

x/3-10=8

x/3=18

x=48

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05