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September 29th, 2008, 07:45 PM
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| |  Linear ODE problem
Hi, I am supposed to solve the linear ODE:
x(dy/dx) + 2y = (sin x) / x , y(2) = 1
Can anyone help me get started with this? I am at a loss for anything relevant.  |
September 29th, 2008, 07:56 PM
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Quote:
Originally Posted by thecelticswin  Hi, I am supposed to solve the linear ODE:
x(dy/dx) + 2y = (sin x) / x , y(2) = 1
Can anyone help me get started with this? I am at a loss for anything relevant. | do you mean  ?? ....hey! you changed the question!
so you have 
divide through by  , we get 
now solve using the integrating factor method
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September 29th, 2008, 08:05 PM
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got it, it's even easier if you multiply through by x squared. (integrating factor is just x squared then!) thanks! |
September 29th, 2008, 08:25 PM
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Quote:
Originally Posted by thecelticswin got it, it's even easier if you multiply through by x squared. (integrating factor is just x squared then!) thanks! | right. i didn't know if you would catch that though, so i wanted to go by the book. sometimes you make such leaps in logic and students get lost and bewildered
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