Category: Differential Equation

Question Number 200902 by Rupesh123 last updated on 26/Nov/23 Answered by Rasheed.Sindhi last updated on 26/Nov/23 $$f\left(x\right)f\left(y\right)+1=2f\left(xy\right)+2(x+y)$$$$x=y=1:$$$${\left[f\left(1\right)\right]}^2+1=2f\left(1\right)+4$$$$\left[{f}\left(\mathrm{1}\right)\right]^{\mathrm{2}} −\mathrm{2}{f}\left(\mathrm{1}\right)−\mathrm{3}=\mathrm{0}…

Question Number 200348 by samikshasuresh last updated on 17/Nov/23 $$$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 200022 by jlewis last updated on 12/Nov/23 $$\mathrm{solve}\mathrm{the}\mathrm{associated}\mathrm{legendre}\mathrm{equation}$$$$\lambda =l(l+1){\eta }^2;l=0,1,2\dots and{m}^2⩽l(l+1)$$$$whichrequires-l⩽m⩽l\mathrm{using}\mathrm{power}\mathrm{series}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 199891 by Mathspace last updated on 10/Nov/23 $$solvebylaplcetransform$$$$y^{{}^{″}}-y^{{}^{\prime }}+y=(x+1)e^x$$ Commented by Mathspace last updated on 10/Nov/23 $${with}\:{y}\left(\mathrm{0}\right)=\mathrm{1}\:{and}\:{y}^{'} \left(\mathrm{0}\right)=−\mathrm{1}…

Question Number 198646 by Engr_Jidda last updated on 22/Oct/23 Answered by mr W last updated on 23/Oct/23 $$storyissilly,butsolutioniseasy!$$$$$$$$girl:a\left(t\right)=1\times t=t$$$${boy}:\:\:{b}\left({t}\right)=\mathrm{5}×{t}=\mathrm{5}{t} \…