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1. Is it possible for the TI-89 to solve Exact Equations?

Ex: (2x-1)dx + (3y+7)dy = 0

I've tried various forms of input, but I cannot find a way for the Calculator to give me a complete answer. My best luck so far was:

(2x-1)x' + (3y+7)y' = 0. The y' part was correct, the x' part was incomplete.

2. I've been reading about how to convert higher order equations into a form that the calculator can solve.

Ex: y''' + 3y'' + 2y' - 5y = sin(2t)

Can be written as:

y'(subscript 3) = 5y(subscript 1) - 2y(subscript 2) -3y(subscript 3) + sin(2t)

How might I enter this into the TI-89?

3. Why does the TI-89 put tan and cot in terms of sin and cos? I have seen rather simple equations turn into complicated messes because of this.

Thanks in advance.

Ex: (2x-1)dx + (3y+7)dy = 0

I've tried various forms of input, but I cannot find a way for the Calculator to give me a complete answer. My best luck so far was:

(2x-1)x' + (3y+7)y' = 0. The y' part was correct, the x' part was incomplete.

2. I've been reading about how to convert higher order equations into a form that the calculator can solve.

Ex: y''' + 3y'' + 2y' - 5y = sin(2t)

Can be written as:

y'(subscript 3) = 5y(subscript 1) - 2y(subscript 2) -3y(subscript 3) + sin(2t)

How might I enter this into the TI-89?

3. Why does the TI-89 put tan and cot in terms of sin and cos? I have seen rather simple equations turn into complicated messes because of this.

Thanks in advance.

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