(dy/dt) + y = cos(e^t) i got the integrating factor as e^t and the answer i got is y = (1/(e^t))*(sin (e^t)) + C is this correct???

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- February 4th 2009, 03:09 PMcraftydifferential equation verification
(dy/dt) + y = cos(e^t) i got the integrating factor as e^t and the answer i got is y = (1/(e^t))*(sin (e^t)) + C is this correct???

- February 4th 2009, 03:14 PMJester
- February 4th 2009, 03:22 PMcrafty
but isnt c just an arbitrary constant and assuming my c outside is a different constant would it still be correct or is there something special about this case, if there is can you explain why ... thanks in advance

- February 4th 2009, 03:27 PMJester
- February 4th 2009, 03:38 PMcrafty
oh right i get it now and can you please reply to my other thread called its called "how do is solve this differential eqn???" ive been waiting a while for that one and i still don't get it