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Author: Tinku Tara

siny-y-dy-

Question Number 67359 by mhmd last updated on 26/Aug/19 $$\int{siny}/{y}\:\:{dy} \\ $$ Commented by mathmax by abdo last updated on 26/Aug/19 $${at}\:{form}\:{of}\:{serie}\:\:{we}\:{have}\:{siny}\:=\sum_{{n}=\mathrm{0}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{{n}} {y}^{\mathrm{2}{n}+\mathrm{1}}…

Find-the-period-of-f-x-where-f-x-cos-2x-pi-3-sin-3x-2-pi-4-How-may-one-find-the-period-of-the-following-functions-if-x-has-period-m-and-x-has-period-n-1-f-1-x-x-x-2-f-2-x

Question Number 1812 by 112358 last updated on 04/Oct/15 $${Find}\:{the}\:{period}\:{of}\:{f}\left({x}\right)\:{where} \\ $$$${f}\left({x}\right)={cos}\left(\mathrm{2}{x}+\frac{\pi}{\mathrm{3}}\right)+{sin}\left(\frac{\mathrm{3}{x}}{\mathrm{2}}−\frac{\pi}{\mathrm{4}}\right). \\ $$$${How}\:{may}\:{one}\:{find}\:{the}\:{period} \\ $$$${of}\:{the}\:{following}\:{functions} \\ $$$${if}\:\psi\left({x}\right)\:{has}\:{period}\:{m}\:{and}\:\gamma\left({x}\right) \\ $$$${has}\:{period}\:{n}? \\ $$$$\left(\mathrm{1}\right)\:{f}_{\mathrm{1}} \left({x}\right)=\psi\left({x}\right)\gamma\left({x}\right) \\ $$$$\left(\mathrm{2}\right)\:{f}_{\mathrm{2}}…

find-the-series-solution-of-the-ordinary-differential-equation-y-2-2xy-1-3y-x-2-1-y-0-1-and-y-1-0-2-

Question Number 132881 by Engr_Jidda last updated on 17/Feb/21 $${find}\:{the}\:{series}\:{solution}\:{of} \\ $$$${the}\:{ordinary}\:{differential}\:{equation} \\ $$$${y}^{\mathrm{2}} +\mathrm{2}{xy}^{\mathrm{1}} −\mathrm{3}{y}={x}^{\mathrm{2}} −\mathrm{1} \\ $$$${y}\left(\mathrm{0}\right)=\mathrm{1}\:{and}\:{y}^{\mathrm{1}} \left(\mathrm{0}\right)=\mathrm{2} \\ $$ Terms of Service…

cot-142-5-

Question Number 132880 by faysal last updated on 17/Feb/21 $${cot}\left(\mathrm{142}.\mathrm{5}°\right)=? \\ $$ Commented by bramlexs22 last updated on 17/Feb/21 $$\mathrm{285}°=\:\mathrm{2}×\mathrm{142}.\mathrm{5} \\ $$$$\mathrm{285}°=\mathrm{270}°+\mathrm{15}° \\ $$$$\mathrm{cot}\:\mathrm{285}°\:=\:\mathrm{cot}\:\mathrm{285}° \\…