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  3. 1. find the general solution to the following ode:

1. Find the general solution to the following ODE: y???+ 4y?= sec(2x) 2. Find the solution to...

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Advance Math

1. Find the general solution to the following ODE:

y???+ 4y?= sec(2x)

2. Find the solution to the following IVP:

2y??+ 2y??2y= 6x2?4x?1

y(0) = ?32

y?(0) = 5

3. Verify that y1=x1/2ln(x) is a solutionto

4x2y??+y= 0,

and use reduction of order to find a second solutiony2.

4.

Find the general solutions to the following ODEs:

a) y????y?= 0.

b) y??+ 2y?+y= 0.

c) y???4y?+ 13y= 0.

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