solve:xcosydy=(xe^xlogx+e^x) dx
simran , 10 Years ago
Grade 12
Integral Calculus> differential-equation
4 Answers
Ajay Verma
Last Activity: 10 Years ago
Thanks and Regards,
Ajay verma,
askIITians faculty,
IIT HYDERABAD
Ajay Verma
Last Activity: 10 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: 10 Years ago
please check the attached file
xfg
Last Activity: 6 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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