Category: Relation and Functions

Question Number 90972 by abdomathmax last updated on 27/Apr/20 $${solve}\:{y}^{''} \:+{y}\:=\frac{\mathrm{2}}{{sin}^{\mathrm{2}} {t}} \\ $$ Answered by Joel578 last updated on 27/Apr/20 $$\bullet\:\mathrm{Homogeneous}\:\mathrm{solution} \\ $$$$\mathrm{with}\:\mathrm{char}.\:\mathrm{eq}.\:\lambda^{\mathrm{2}} \:+\:\mathrm{1}\:=\:\mathrm{0}\:\rightarrow\:\lambda_{\mathrm{1},\mathrm{2}}…

Question Number 90970 by abdomathmax last updated on 27/Apr/20 $${find}\:{all}\:{functions}\:{f}\:\:\left(\mathrm{2}×{derivable}\right)\:{verify} \\ $$$$\left({f}^{'} \left({x}\right)\right)^{\mathrm{2}} \:−\left({f}\left({x}\right)\right)^{\mathrm{2}} \:=\mathrm{1}\:{and}\:{f}^{'} \left(\mathrm{0}\right)=\mathrm{1} \\ $$ Commented by mr W last updated on…

Question Number 90968 by abdomathmax last updated on 27/Apr/20 $${solve}\:\left(\mathrm{1}+{e}^{{x}} \right){y}^{'} −{y}\:=\frac{{e}^{{x}} }{\mathrm{1}+{x}^{\mathrm{2}} } \\ $$ Commented by niroj last updated on 27/Apr/20 $$\:\:\:\:\left(\mathrm{1}+\mathrm{e}^{\mathrm{x}} \right)\mathrm{y}^{'}…

Question Number 90964 by abdomathmax last updated on 27/Apr/20 $${determine}\:{a}\:{diff}.{equation}\:{with}\:{roots}\:{e}^{\mathrm{2}{x}} \:{and}\:{e}^{−{x}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 90963 by abdomathmax last updated on 27/Apr/20 $${solve}\:\left(\mathrm{1}+{x}^{\mathrm{2}} \right){y}^{'} \:+{xy}\:=\sqrt{\mathrm{1}+{x}^{\mathrm{2}} } \\ $$ Commented by niroj last updated on 27/Apr/20 $$\:\:\:\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)\mathrm{y}^{'} \:+\mathrm{xy}\:=\:\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{2}}…