Question

Y''''=2y'''. решите пожалуйста

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Solving the Differential Equation Y'''' = 2Y'''

To solve the differential equation Y'''' = 2Y''', we can start by assuming a solution of the form Y = e^(rt), where r is a constant. Substituting this into the differential equation, we get:

r^4 * e^(rt) = 2 * r^3 * e^(rt)

Dividing both sides by e^(rt), we get:

r^4 = 2 * r^3

Dividing both sides by r^3 (assuming r is not zero), we get:

r = 2

So, the solution for the differential equation Y'''' = 2Y''' is of the form Y = e^(2t) + Ae^(rt) + Be^(rt) + Ce^(rt), where A, B, and C are constants.

This is a general solution to the given differential equation.

Additional Information

If you have any further questions or need clarification on any part of the solution, feel free to ask!