Differential Eqns: particular soln to xy' + 4y = 15xcox(x^5)

Limits, differentiation, related rates, integration, trig integrals, etc.
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Martingale
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Re: Differential Eqns: particular soln to xy' + 4y = 15xcox(x^5)

Postby Martingale » Fri Apr 17, 2009 1:53 am

Martingale wrote:


solve for



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Re: Differential Eqns: particular soln to xy' + 4y = 15xcox(x^5)

Postby doggy » Fri Apr 17, 2009 2:02 am

I don't understand why it isn't c =0

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Re: Differential Eqns: particular soln to xy' + 4y = 15xcox(x^5)

Postby Martingale » Fri Apr 17, 2009 2:04 am

doggy wrote:I don't understand why it isn't c =0


if c=0 then the answer would be what you had

doggy wrote:So then the final answer would be c=0

and y= 3 sin(x^5)/x^4?


but does for this function? no it doesn't.

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Re: Differential Eqns: particular soln to xy' + 4y = 15xcox(x^5)

Postby doggy » Fri Apr 17, 2009 2:05 am

So then the final answer would be 3 sin(x^5)/x^4 -3 sin(pi^5)/x^4?

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Re: Differential Eqns: particular soln to xy' + 4y = 15xcox(x^5)

Postby Martingale » Fri Apr 17, 2009 2:07 am

doggy wrote:So then the final answer would be 3 sin(x^5)/x^4 -3 sin(pi^5)/x^4?



yes

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Re: Differential Eqns: particular soln to xy' + 4y = 15xcox(x^5)

Postby doggy » Fri Apr 17, 2009 2:18 am

So the final answer would be y = 3 sin(x^5) - 3 sin (pi^5)

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Re: Differential Eqns: particular soln to xy' + 4y = 15xcox(x^5)

Postby Martingale » Fri Apr 17, 2009 2:24 am

doggy wrote:So the final answer would be y = 3 sin(x^5) - 3 sin (pi^5)


no...what you had before is the correct answer...you don't remove the x^4 that is on the bottom.


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