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solve:

xcosydy=(xe^xlogx+e^x) dx

simran , 11 Years ago
Grade 12
anser 4 Answers
Ajay Verma

Last Activity: 11 Years ago


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Thanks and Regards,
Ajay verma,
askIITians faculty,
IIT HYDERABAD

Ajay Verma

Last Activity: 11 Years ago

soln:

xcosydy=(xe^xlogx+e^x) dx

x cosy dy = (x ex logx + ex ) dx

cosy dy = ex (logx + 1/x) dx

integrate both sides

siny = ex logx + c (const.)

Sunil Raikwar

Last Activity: 11 Years ago

please check the attached file

xfg

Last Activity: 7 Years ago

instead of using ILATE rule , we can just use –  ∫e^x( f(x) + f’(x) ) = e^xf(x) + c   in the third step which would directly give us the answer.
 

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