(15 pts) 4. find the solution of the following initial value problem: y"-10y'+25y = 0 with y(0) = 3 and y'(0) = 13

Step-by-step explanation:

The given differential equation is

The characteristics equation is given by

Finding the values of r

We got a repeated roots. Hence, the solution of the differential equation is given by

On differentiating, we get

Apply the initial condition y (0)= 3 in equation (i)

Now, apply the initial condition y' (0)= 13 in equation (ii)

Therefore, the solution of the differential equation is

50- 250 is correct i did that one too

step-by-step explanation:

i use my brain for prombles like this maybe you could try it

step-by-step explanation: