The solution of the initial boundary value problem * U, = 4u, u (х,0) - 0, u, ( x,0) = x(1– x), u(0,t) = 0, 0 < x<1, t> 0, 0

Q: アrova solution to if ulx,t)= (sin (x- 6 )-Sin (x+6)) tion equa %3D

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Q: 1-find both first partial derivatives  f(x,y)=x^2 e^xy

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: 21) y" – 2y' +10y = 0, y(0) = 3, y'(0) = 3.

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Q: f(x,y,z)=xy²z subject to x + 2y + 3z = 6.

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Q: 2- Solve the following equation: Utt = c?uxx +, u(0, t) = u(2, t) = 0 u(x,0) = x? ,u; (x, 0) = e*

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Q: Find where the first derivative is equal to 0. Er ****. lif

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Q: ",=a'u, O0 (19) (0.1) = 0, (L)= u(z,0) = S()

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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.