Category: Relation and Functions

Question Number 95694 by mathmax by abdo last updated on 27/May/20 $$\mathrm{solve}\mathrm{by}\mathrm{laplace}\mathrm{transform}{\mathrm{y}}^{{}^{″}}+{3\mathrm{y}}^{{}^{\prime }}+2\mathrm{y}={\mathrm{e}}^{-\mathrm{x}}\mathrm{withy}\left(0\right)=1\mathrm{and}{\mathrm{y}}^{{}^{\prime }}\left(0\right)=2$$ Answered by mathmax by abdo last updated…

Question Number 95695 by mathmax by abdo last updated on 27/May/20 $$\mathrm{solve}(\mathrm{x}+1){\mathrm{y}}^{{}^{\prime }}-{\mathrm{x}}^3\mathrm{y}=\arctan \left(2\mathrm{x}\right)$$ Answered by mathmax by abdo last updated on 27/May/20…

Question Number 95634 by i jagooll last updated on 26/May/20 $$\mathrm{solve}\mid x+\frac{1}{x}\mid >2$$ Answered by john santu last updated on 26/May/20 $$\mathrm{solution}:$$$$\mathrm{this}\:\mathrm{is}\:\mathrm{equivalent}\:\mathrm{to}\:\mid\frac{{x}^{\mathrm{2}} +\mathrm{1}}{{x}}\mid\:>\:\mathrm{2}…

Question Number 161114 by cortano last updated on 12/Dec/21 $$Letf\left(x\right)=\sin {}^3\left(2x\right)for-\frac{\pi }{4}⩽x⩽\frac{\pi }{4}$$$$then{Df}^{-1}\left(\frac{1}{8}\right)=\frac{a}{b\sqrt{b}}so\{\begin{array}{l}a=?\\ b=?\end{array}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 29986 by abdo imad last updated on 14/Feb/18 $$find\sum _{n=0}^{\mathrm{\infty }}\frac{n+1}{4^n}.$$ Commented by abdo imad last updated on 14/Feb/18 $${let}\:{introduce}\:{for}\:\mid{x}\mid<\mathrm{1}\:\:\:{S}\left({x}\right)=\:\sum_{{n}=\mathrm{0}}…