33 prone that ucx, y) = x F(2x+y) is a general %3D Solution of x Ux-2xUy = Ucxyy) then find the particular Solution that satis fy the Condition U (l,y)=y².

Q: Let W(x) = W[y,, y2, Y3] , where 11 V1, Y2, Y3} are solutions to y"+3x y' -4y 0. Then W" =3 W.…

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Q: Calculate gij for the distance between (x;) = (1, 1, – 1) and (yi) = (0,1,2) in %3D T-2 1] barred…

A: A point in three dimensional coordinate system is given by xi=1,1,-1yi=0,1,2 Now the point in barred…

Q: The equations cos(u) + 10uy2 + e + 2 = 0 and 2ye" + 4x2v - 3xcos(z) +1 =0 are solved for u and v as…

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Q: Find (2) and (7) at the point (w, x, y, z) = (48,1, -2,-2) if w=3x²y² + 3yz - 3z³ and x² + y² + z² =…

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Q: 6. Find the general solution of X Ury -Y Uyy = Uy %3D by using the change of variables: v = x, w =…

A: Given: The partial differential equation, xuxy-yuyy=uy   To find: The general solution of the given…

Q: Simplify completely: V4 -x where x = 2 sin 0 and 0 an acute angle.

A: Given,  x=2 sin θ and θ is an acute angle.

Q: 2. a) Find the general solution of (z²-2yz-y²)p+(xy+xz)q=xy-xz, b) which passes through the curve…

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Q: ) ور شم( موم 2 4-x 2 2 4-x 2 x++y¯+z° e - dz dy dx -2

A: To evaluate the below integral. ∫−22∫04−x2∫04−x2−y2e−x2+y2+z23/2dz dy dx

Q: Let y1, Y2 be two independent solutions of (t – 1)y" – ty' +y = 0. If W(y1, Y2)(2) = e² , then W…

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Q: Find [2² Pex. 2 √²+ 3 1³ F(x f(x, y) = 5x + 3x²y² 3 √³ F(x, f(x, y) dx and f(x, y) dx = f(x, y) dy =…

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Q: Find the functions x*(r) and y*(r) such that x = x*(r) and y = y*(r) solve the problem max f(x, y,…

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: Solve the equation Ut u(0, t) u(4, t) u(x, 0) - = 2urr 3 -5 = 2

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Q: Let C be the boundary of a rectangle with vertices (0, 0), (-1,0),(-1,5) and (0, 5). Then ve dx +…

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Q: Find the value of ou/ox and du/oy if u(x, y) = x² + y²-2x²y;

A: To find the value of   if .

Q: Use logarithmic differentiation to determine y' for the equation y = V(4x – 5)(x – 3)(2x + 5). Write…

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Q: Solve Fyy + 3 Fxy + 2 Fxx = 2x, F(x, 0) = -x, 2, F(x, 0) = 0. F(x, y) =

A: General solution is given by complementary factor + particular integral.

Q: Ux + Uy = 0. (a) Solve the equation with the condition u (x, -x) = h(x). (b) Does the equation…

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Q: 0:YE IO 令l اسو و ومي Ex: e Test te distance fermula fer problem in Ex-©aboue on pair of Points whose…

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Q: Minimize z=5y1+2y2 subject to3y1+y2≥30y1+y2≥26y1+2y2≥37y1≥0,y2≥0If no solutions exist enter DNE in…

A: Answer is given below.Explanation:

Q: The PDE ugy + sin(y) u, = cos(y) Can be reduced to a first order linear equation as: A) uz + cos(x)…

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Q: The equations xy² + 8xzcos(u) + ye" = 16 and x³yz+xe" – 3u?v² = 9 are solved %3D for u and v as…

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Q: Let f (x, y) = 2x³ + 4y³ + 19xy Find D = frx · fyy - fey at the point (2,2)

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Q: (v')3 -3(v')2 +18y-36x+58=0 1-)Find the singular (outlier) solution of Lagrange's equation

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Q: The equations xcos(u) + luy² + e² + 2 = 0 and 9ye" + 4x²v – 3xcos(z) +1=0 are solved for u and v as…

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Q: Solve for fazy for f(x, y, z) = 4x³y²z - e²zy¹ + + 4y - x¹6

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Q: Find %3D as if F(x, y, z) = 2xi+2yj+2zk and S is the part of the paraboloid z = 4-x-y lying above…

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