differential equation challenge

x cosx dy/dx + y(x sinx + cos x)=1

3 Answers

1
RAY ·

no takers???

24
eureka123 ·

dy/dx+y(tanx+ 1/x)=1/xcosx

=> IF=e∫tanx + 1/x=x.secx

its ist order eqn..so soln is y(x.secx)=∫x.secx/xcosx+C=∫sec2x +C
=>y(x.secx)=tanx+C

1
RAY ·

oh fish..i made a silly blunder..i didnt write eln (xsec x) as x secx....

thanx dude./...

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