## Calculus: Early Transcendentals 8th Edition

$y=c_1sinx+c_2cosx+sinxln(sinx)-xcosx$
$y''+y=cscx$ which has characteristic equation $t^2+1=0$ with solutions $t=\pm i$ Complementary solution: $y_c=c_1sinx+c_2cosx$ Particular solution: $y_p=sinxln(sinx)-xcosx$ General solution: $y=y_c+y_p=c_1sinx+c_2cosx+sinxln(sinx)-xcosx$