Question Number 218914 by SdC355 last updated on 17/Apr/25 $$\mathrm{prove} \\ $$$$\int_{\mathrm{0}} ^{\:\infty} \:{J}_{\nu} \left(\alpha{t}\right){J}_{\nu} \left(\beta{t}\right)\mathrm{d}{t}=\frac{\mathrm{2}}{\pi}\centerdot\frac{\mathrm{sin}\left(\frac{\pi}{\mathrm{2}}\left(\alpha−\beta\right)\right)}{\alpha^{\mathrm{2}} −\beta^{\mathrm{2}} } \\ $$$$\int_{\mathrm{0}} ^{\:\infty} \:{t}\centerdot{J}_{\nu} \left(\alpha{t}\right){J}_{\nu} \left(\beta{t}\right)\mathrm{d}{t}=\frac{\mathrm{1}}{\alpha}\centerdot\delta\left(\alpha−\beta\right) \\…
Question Number 218975 by SdC355 last updated on 18/Apr/25 $$\mathrm{In}\:\mathrm{physics}\:,\:\mathrm{Flux}\:\mathrm{integral}\:\oint_{\:\partial\boldsymbol{\mathcal{S}}} \:\overset{\rightarrow} {\boldsymbol{\mathrm{F}}}\centerdot\:\mathrm{d}\overset{\rightarrow} {\boldsymbol{\mathrm{S}}}\:\mathrm{is}\:\mathrm{a}\: \\ $$$$\mathrm{concept}\:\mathrm{that}\:\mathrm{widely}\:\mathrm{used}\:\mathrm{in}\:\mathrm{eletric}\:\mathrm{equation}\:\mathrm{or} \\ $$$$\mathrm{Heat}\:\mathrm{Eqaution} \\ $$$$\mathrm{for}\:\mathrm{example}…..\: \\ $$$$\oint_{\:{A}} \:\overset{\rightarrow} {\boldsymbol{\mathrm{D}}}\centerdot\mathrm{d}\overset{\rightarrow} {\boldsymbol{\mathrm{A}}}={Q}_{\mathrm{0}} \:\left(\mathrm{Gauss}\:\mathrm{law}\right)\:\overset{\rightarrow}…
Question Number 218857 by SdC355 last updated on 16/Apr/25 $$\frac{\mathrm{d}\:\:}{\mathrm{d}{t}}\:\frac{\mathrm{d}{x}\left({t}\right)}{\mathrm{d}{t}}−\left({x}\left({t}\right)\right)^{\mathrm{2}} ={k}_{\mathrm{0}} ^{\mathrm{2}} …?? \\ $$$$\mathrm{how}\:\mathrm{can}\:\mathrm{i}\:\mathrm{solve}\:\mathrm{this}\:\mathrm{Differantial}\:\mathrm{Equation}…??? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 218775 by sonukgindia last updated on 15/Apr/25 Answered by SdC355 last updated on 15/Apr/25 $$\sqrt{{x}+\mathrm{22}}\in\mathbb{Z} \\ $$$$\mathrm{1}^{\mathrm{1}/\mathrm{3}} \:,\:\mathrm{8}^{\mathrm{1}/\mathrm{3}} \:,\:\mathrm{27}^{\mathrm{1}/\mathrm{3}} \:,\:\mathrm{64}^{\mathrm{1}/\mathrm{3}} …\mathrm{etc} \\ $$$${x}=−\mathrm{21}\:,\:−\mathrm{14}\:,\:\mathrm{5}\:,\:….…
Question Number 218769 by SdC355 last updated on 15/Apr/25 $$\mathrm{Fourier}\:\mathrm{Series}\:{f}\left(\theta\right)={e}^{\boldsymbol{{i}}{z}\mathrm{sin}\left(\theta\right)} \\ $$ Answered by MrGaster last updated on 16/Apr/25 $${e}^{{iz}\:\mathrm{sin}\left(\theta\right)} =\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\left({iz}\:\mathrm{sin}\left(\theta\right)\right)^{{n}} }{{n}!} \\…
Question Number 218771 by SdC355 last updated on 15/Apr/25 $$\int_{\mathrm{0}} ^{\:\infty} \:{J}_{\nu} \left(\alpha{t}\right){J}_{\nu} \left(\beta{t}\right)\mathrm{d}{t}=?? \\ $$$$\left(\alpha,\beta\neq\mathrm{0}\right) \\ $$ Answered by Nicholas666 last updated on 16/Apr/25…
Question Number 218765 by SdC355 last updated on 15/Apr/25 $$\mathrm{solve} \\ $$$$\int_{\mathrm{0}} ^{\:\infty} \:\:{J}_{\nu} \left({kt}\right){e}^{−{wt}} \mathrm{d}{t}=\mathrm{g}_{\nu,{k}} \left({w}\right) \\ $$ Answered by Nicholas666 last updated on…
Question Number 218766 by SdC355 last updated on 15/Apr/25 $$\underset{\ell=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{\ell}{J}_{\nu} \left(\ell{t}\right)=?? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com