Verify that the indicated family of functions is a solution of the given differential equation. assume an appropriate interval i of definition for each solution. d2y dx2 − 8 dy dx + 16y = 0; y = c1e4x + c2xe4x

Solution:

Given:  

           ..... (1)

We can rewrite it as:

Find the derivatives.

Substitute the values of in equation (1)

Hence Proved.

341

step-by-step explanation:

all you have to do is 9x31 (which equals 279) and then 20x31 (which equals 620). then you have to subtract. 620-279=341.

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

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