Solve the heat equation U; = 4u xx, - 00, %3D u(x,0)=6(x-2). CO O A U(x,t) = = Je4 cos[@x- 2)]da. Je-4ax C8 l40 cos[x-2)]do. C. Ocux,) = Je-4ax cos[@x+2)]d@. -8 O D. None of these. C. OE U(x,t) = sin[@(x – 2)]d m. %3D 27 -08

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A: NOTE: Refresh your page if you can't see any equations. . use cross multiplication

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A: Please see the explanation below

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Q: • If y = cos x2 + x² then y(4) = 8x? sin x² + 0 TO F

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.