3. solve each of the following constant coefficient ordinary differential equations: (10 pts] a) y"+ 3y'- 28y = 0

Step-by-step explanation:

We are given the following information in the question:

This can be written as:

The auxiliary equation obtained is:

Thus, the general solution of the equation is:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

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