Category: Relation and Functions

Question Number 66788 by mathmax by abdo last updated on 19/Aug/19 $$solvethe\left(de\right)(2x+1)y^{{}^{\prime }}+(x^2-1)y=x^3{e}^{-x}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 66727 by mathmax by abdo last updated on 19/Aug/19 $$let{U}_n=\sum _{k=0}^n\frac{1}{3k+1}and{H}_n=\sum _{k=1}^n\frac{1}{k}$$$$calculate{U}_{n}intermsof{H}_n$$ Terms of…

Question Number 66696 by mathmax by abdo last updated on 18/Aug/19 $$calculate{lim}_{x\to 0}\frac{arctan(1+x^3)-\frac{\pi }{4}}{xsin\left(x^2\right)}$$ Commented by kaivan.ahmadi last updated on 18/Aug/19 $${lim}_{{x}\rightarrow\mathrm{0}}…

Question Number 1120 by 123456 last updated on 17/Jun/15 $$\mathrm{given}f:\mathbb{R}\to \mathbb{R}$$$$f\left(x\right)=a_n{x}^n+\cdot \cdot \cdot +a_0$$$$\mathrm{with}{a}_n\ne 0,a_i\in \mathbb{R},i\in \{0,1,\dots ,n\},n\in {\mathbb{N}}^{\ast }$$$$\mathrm{supose}\mathrm{that}{x}_1,\dots ,x_n$$$$\mathrm{are}\:\mathrm{roots}\:\mathrm{the}\:{n}\:\mathrm{roots}\:\mathrm{of}\:{f}\left({x}\right) \…

Question Number 1088 by 112358 last updated on 10/Jun/15 $$Solvethefollowingintegral$$$$equationforf\left(x\right):$$$${\int }_0^{x}f\left(t\right)dt=3f\left(x\right)+k$$$$wherekisaconstant.$$ Answered by prakash jain last…