Solve the following homogenous PDE du Pu with the nonhomogenous boundary conditions uz(0, t) = 0, uz(T, t) = 10 and the following initial conditions 1022 u(х,0). 27

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A: d2udx2=-x2⇒dudx=-x33+c⇒u=-x412+cx+du(0)=00=du(1)=00=-112+cc=112u(x)=112(-x4+x)

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Q: Solve the following homogenous PDE ди with the nonhomogenous boundary conditions uz(0, t) = 0,…

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Q: Solve the following homogenous PDE du Pu at with the nonhomogenous boundary conditions uz(0, t) = 0,…

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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.