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Question-197147

Question Number 197147 by sonukgindia last updated on 08/Sep/23 Answered by Frix last updated on 10/Sep/23 $$\mathrm{Obviously}\:{x}=\mathrm{1}\vee{x}=\frac{\pi}{\mathrm{2}}\vee{x}=\frac{\mathrm{5}\pi}{\mathrm{2}}\:\mathrm{because} \\ $$$$\mathrm{ln}\:\mathrm{1}\:=\mathrm{0}\:\mathrm{and}\:\mathrm{sin}\:\frac{\pi}{\mathrm{2}}\:=\mathrm{1} \\ $$ Commented by sonukgindia last…

Question-197129

Question Number 197129 by sonukgindia last updated on 08/Sep/23 Answered by Frix last updated on 09/Sep/23 $$\mathrm{This}\:\mathrm{just}\:\mathrm{comes}\:\mathrm{from}\:\mathrm{my}\:\mathrm{experience}\:\mathrm{with} \\ $$$$\mathrm{trigonometric}\:\mathrm{functions}.\:\mathrm{I}'\mathrm{m}\:\mathrm{not}\:\mathrm{good}\:\mathrm{at} \\ $$$$\mathrm{solving}\:\mathrm{differential}\:\mathrm{equations}. \\ $$$${f}\left({x}\right)=\mathrm{tan}\:{x} \\ $$$$\Rightarrow…

Question-197104

Question Number 197104 by MrGHK last updated on 07/Sep/23 Commented by TheHoneyCat last updated on 08/Sep/23 $$\mathrm{Are}\:\mathrm{you}\:\mathrm{looking}\:\mathrm{for}\:\mathrm{a}\:\mathrm{functional}\:\mathrm{answere}? \\ $$$$\mathrm{because}\:\mathrm{if}\:\mathrm{you}\:\mathrm{are}\:\mathrm{expecting}\:\mathrm{a}\:\mathrm{solution}: \\ $$$${x}\left({t}\right)=… \\ $$$$\mathrm{then}\:\mathrm{there}\:\mathrm{is}\:\mathrm{an}\:\mathrm{issue}:\:{y}\:\mathrm{is}\:\mathrm{not}\:\mathrm{defined}! \\ $$…

Question-197094

Question Number 197094 by MrGHK last updated on 07/Sep/23 Answered by sniper237 last updated on 07/Sep/23 $$\overset{{schwarz}\:{theo}} {\Rightarrow}\:\partial_{{x}} \left(\:{t}\partial_{{t}} {u}+\mathrm{2}{u}\right)={x}^{\mathrm{2}} \\ $$$$\overset{\int{dx}} {\Rightarrow}{t}\partial_{{t}} {u}+\mathrm{2}{u}\:=\frac{{x}^{\mathrm{3}} }{\mathrm{3}}+{f}\left({t}\right)…