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Deepak Aggarwal Grade: 12
        Solve the differential equation:

dy/dx = e^(xy)
7 years ago

Answers : (3)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear DEEPAK


dy/dx = e^(xy)


let xy=t


 xdy/dx + y =dt/dx


or  xdy/dx + t/x =dt/dx


or  dy/dx = 1/x dt/dx - t/x2


so question become     


1/x dt/dx  -1/x2=et  


or  dt/dx    -x et = 1/x


so I.F= e∫-xdx 


           =e-x2/2


    so  t.e-x2/2   = ∫1/x e-x2/2   dx   +c


now it is simple intigration


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Badiuddin



7 years ago
Tapasranjan Das
19 Points
										

Hi Deepak,


dy/dx=exey


=>dy/ey=exdx


=>e-ydy=exdx


=>∫e-ydy=∫exdx


=>-e-y=ex+C

7 years ago
Deepak Aggarwal
8 Points
										

Badiuddin sir, actually see the 5th step after u have written the question became. there i think u missed a 't'. actually there the question become



1/x dt/dx  - t/x2=et 


Please check this one out.


Thnks anyways.


     

7 years ago
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