solve:
xcosydy=(xe^xlogx+e^x) dx
solve:
xcosydy=(xe^xlogx+e^x) dx
simran , 12 Years ago
Grade 12
Integral Calculus> differential-equation...
4 AnswersAjay Verma
Thanks and Regards,
Ajay verma,
askIITians faculty,
IIT HYDERABAD
Ajay Verma
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
please check the attached file
xfg
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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