Howdy!

A little introduction, my name is Alfonso, I'm a Physics major. I'm orginally from Mexico but I've been living in the States for about half my life. I'm beginning my third year of college at Texas Tech and am thoroughly enjoying my time here! I'm actually a bit behind on my classes because I was transferred late and missed two days of school. This actually led me to my debut here! (I don't know if that's a good thing yet) My professor kindly lended my $200 to purchase my Differential Equations book for ODE about half an hour ago. I've been struggling with this homework. So far I've shot three problems down but the rest of these (posted) are perplexing me. I was wondering if I could get some help? I look forward to contributing in the future! =D

Problem #1

Find the position of a moving particle with the given acceleration , initial position , and initial velocity

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Problem #2

The general solution to can be written in the form where is an arbitrary constant.

____ For this problem I keep getting (1/3) ln |y| = ln |2+x| +C Is this correct? Am I missing a step?

Problem #4

The solution to with is

____ For this problem I get y = square root of 2e^x + 2C is this correct?

Problem #5

The general solution of the first order linear equation can be written as where is an arbitrary constant.

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Problem #6

Solve the first order linear Initial value problem with .

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Problem #7

Solve the first order linear Initial value problem with .

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Problem #8

Solve the equation by first setting to obtain a first order equation for . After you solve for recall that and solve the resulting pure time equation for .

The solution can be written as where and are arbitrary constants.

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