Question Number 100327 by bobhans last updated on 26/Jun/20 $$\mathcal{S}\mathrm{olve}\:\mathrm{x}^{\mathrm{2}} \mathrm{y}''−\mathrm{3xy}'−\mathrm{5y}=\mathrm{0} \\ $$ Commented by bobhans last updated on 26/Jun/20 $$\mathrm{n}\left(\mathrm{n}−\mathrm{1}\right)−\mathrm{3n}−\mathrm{5}=\mathrm{0} \\ $$$$\mathrm{n}^{\mathrm{2}} −\mathrm{4n}−\mathrm{5}=\mathrm{0},\:\left(\mathrm{n}−\mathrm{5}\right)\left(\mathrm{n}+\mathrm{1}\right)=\mathrm{0} \\…
Question Number 96138 by john santu last updated on 30/May/20 $${xy}'\:+\:{y}^{\mathrm{2}} \:=\:{x}^{\mathrm{2}} {e}^{{x}} \: \\ $$ Commented by Sourav mridha last updated on 30/May/20 $$\boldsymbol{{it}}'\mathrm{s}\:\mathrm{wrong},\mathrm{it}\:\boldsymbol{{should}}\:\boldsymbol{{be}}…
Question Number 26557 by tawa tawa last updated on 26/Dec/17 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 25310 by alibhar last updated on 08/Dec/17 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 154561 by amin96 last updated on 19/Sep/21 Answered by liberty last updated on 19/Sep/21 $$\frac{\mathrm{3}}{\mathrm{4}} \\ $$ Commented by amin96 last updated on…
Question Number 144910 by ArielVyny last updated on 30/Jun/21 $$\Gamma\left(\frac{{n}+\mathrm{1}}{\mathrm{1}−{i}}\right)=???? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 78333 by Lontum Hans last updated on 16/Jan/20 $$\mathrm{prove}\:\mathrm{by}\:\mathrm{contradiction}\:\mathrm{that}\:\sqrt{\mathrm{2}\:}\:\mathrm{is}\:\mathrm{irrational}. \\ $$ Answered by MJS last updated on 16/Jan/20 $$\sqrt{\mathrm{2}}\in\mathbb{Q}\wedge\sqrt{\mathrm{2}}>\mathrm{0}\:\Rightarrow\:\sqrt{\mathrm{2}}=\frac{{p}}{{q}} \\ $$$${p},\:{q}\:\in\mathbb{N}\wedge\mathrm{gcd}\:\left({p},\:{q}\right)\:=\mathrm{1}\:\Leftrightarrow\:{p}\nmid{q}\wedge{q}\nmid{p} \\ $$$$\left(\sqrt{\mathrm{2}}=\frac{{p}}{{q}}\right)^{\mathrm{2}}…
Question Number 77330 by TawaTawa last updated on 05/Jan/20 Commented by $@ty@m123 last updated on 05/Jan/20 Commented by $@ty@m123 last updated on 05/Jan/20 $${In}\:\bigtriangleup{PDC}\:\&\bigtriangleup{QAP} \\…
Question Number 11261 by 786786AM last updated on 18/Mar/17 $$\mathrm{The}\:\mathrm{n}^{\mathrm{th}} \:\mathrm{term}\:\mathrm{of}\:\mathrm{a}\:\mathrm{progression}\:\mathrm{is}\:\mathrm{np}+\mathrm{q}\:\mathrm{and}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{n}\:\mathrm{terms}\:\mathrm{is}\:\mathrm{denoted}\:\mathrm{by}\:\mathrm{S}_{\mathrm{n}} . \\ $$$$\mathrm{Given}\:\mathrm{that}\:\mathrm{the}\:\mathrm{6}^{\mathrm{th}} \:\mathrm{term}\:\mathrm{is}\:\mathrm{4}\:\mathrm{times}\:\mathrm{2}^{\mathrm{nd}} \:\mathrm{term}\:\mathrm{and}\:\mathrm{that}\:\mathrm{S}_{\mathrm{3}} \:=\mathrm{12},\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{p}\:\mathrm{and}\:\mathrm{q}. \\ $$$$\mathrm{Express}\:\mathrm{S}_{\mathrm{n}} \:\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{n}. \\ $$ Terms of Service…
Question Number 75821 by sunny123456 last updated on 18/Dec/19 Commented by mr W last updated on 18/Dec/19 $${what}\:{do}\:{you}\:{want}\:{to}\:{say}? \\ $$ Terms of Service Privacy Policy…