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

solve:


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

Grade:12

4 Answers

Ajay Verma
askIITians Faculty 33 Points
8 years ago

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Thanks and Regards,
Ajay verma,
askIITians faculty,
IIT HYDERABAD
Ajay Verma
askIITians Faculty 33 Points
8 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
askIITians Faculty 45 Points
8 years ago
please check the attached file
xfg
12 Points
4 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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