Math, asked by Abdul9221, 1 year ago

Write the possible solutions of one dimensional heat equations

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Answered by shivamshaurya
7
&lt;font color="red"&gt;&lt;h1&gt;HELLO FRIEND&lt;/h1&gt;&lt;/font&gt;&lt;br&gt;&lt;b&gt;&lt;font color="green"&gt;&lt;marquee&gt;Here is your answer.&lt;/marquee&gt;&lt;/font&gt;&lt;/b&gt;&lt;hr size=3 color="blue"&gt;&lt;br&gt; The one-dimensional heat flow equation is ∂u/∂t = (c^2)∂^2(u)/∂x^2<br />&lt;br&gt;&lt;br&gt;<br />The most general solution to this equation is:<br />&lt;br&gt;&lt;br&gt;<br />U(x,t) = [C1Cosλ^2 + C2Sinλ^2]C3e^-(c^2λ^2)t<br />&lt;br&gt;&lt;br&gt;<br />Of course, if you want to avoid this difficult equation and just get an answer, you can always use<br />&lt;br&gt;<br />Q/t = kA(T2 – T1)/d<br />&lt;br&gt;&lt;br&gt;<br />Where Q/t is J/s = Watts<br />&lt;br&gt;<br />k is the thermal conductivity of the material<br />&lt;br&gt;<br />A is the area through which the heat is flowing<br />&lt;br&gt;<br />T2 – T1 is the temperature difference between the hot side and the cold side<br />&lt;br&gt;<br />d is the thickness of the wall<br />&lt;br&gt;&lt;hr size=3 color="green"&gt;&lt;font color=#800080&gt;&lt;br&gt;&lt;b&gt;HOPE IT HELPS&lt;BR&gt;PLEASE MARK IT AS A BRAINLIEST ANSWER&lt;BR&gt;PLEASE FOLLOW ME&lt;/b&gt;&lt;BR&gt;&lt;BR&gt;&lt;/font&gt;&lt;font color="red"&gt;&lt;b&gt;About me:&lt;br&gt;&lt;/b&gt;&lt;I&gt;Shivam shaurya

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