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Category: Integration

Number-of-straight-lines-which-satisfy-the-differential-equation-dy-dx-x-dy-dx-2-y-0-is-

Question Number 42215 by rahul 19 last updated on 20/Aug/18 $$\mathrm{Number}\:\mathrm{of}\:\mathrm{straight}\:\mathrm{lines}\:\mathrm{which}\:\mathrm{satisfy} \\ $$$$\mathrm{the}\:\mathrm{differential}\:\mathrm{equation} \\ $$$$\frac{\mathrm{dy}}{{dx}}\:+\:{x}\left(\frac{{dy}}{{dx}}\right)^{\mathrm{2}} −\:{y}\:=\mathrm{0}\:{is}\:? \\ $$ Commented by rahul 19 last updated on…

let-A-p-0-sin-px-e-x-1-dx-with-p-gt-0-1-give-A-p-at-form-of-serie-2-give-A-1-at-form-of-serie-

Question Number 42191 by maxmathsup by imad last updated on 19/Aug/18 $${let}\:{A}_{{p}} =\int_{\mathrm{0}} ^{\infty} \:\:\frac{{sin}\left({px}\right)}{{e}^{{x}} −\mathrm{1}}\:{dx}\:\:{with}\:{p}>\mathrm{0} \\ $$$$\left.\mathrm{1}\right){give}\:{A}_{{p}} \:\:{at}\:{form}\:{of}\:{serie} \\ $$$$\left.\mathrm{2}\right)\:{give}\:{A}_{\mathrm{1}} \:{at}\:{form}\:{of}\:{serie}\:. \\ $$ Commented…