Using the initial and boundary conditions solve Uxx - Utt = 0. c2 U(x,0) = 0, U, (x,0) = f(x) . U (0, t) = 0, U (x, t) = 0 where initial conditions are and boundary conditions are where 0

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A: The detailed solution is as follows below:

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Q: 4. Solve x²y" - 5xy' + 8y = 4x², for the boundary conditions y(1) = 1, y'(1) = 1.

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A: max fx , y, r=max-x2-xy-2y2+2rx+2ry To Find: x*r , y*r such that x=x*r ,y= y*r.

Q: x – Y 1. Let f(x, y) = Find: x + y +1' (a) f(2,1) (b) ƒ(1,2) (c) f(a, a) (d) f(y+1,y)

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A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

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A: Given function R(x, y) = 130x + 90y -2x2 - 3y2 - xy To find the marginal revenue by finding the…

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Q: x² +y F(x,y)=- x- y - is a homogeneous function of degree

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Q: Q1: Find partial derivatives of the function with respect with each variable 4) f(x, y) = Vx² + y²…

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Q: Q1: Find partial derivatives of the function with respect with each variable 6) r(x, y) = In(x+ y)

A: The detailed solution is as follows below:

Q: Let a,b be constants, a 0. If Y = aX +b, show that p(X, Y) = lif a > 0 p(X,Y) = –1 if a < 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.