Solve Utt (1,4) Ux (o,t) =o UCX, 0) = 0 KUXX (xst) 0Lx<1, t>o %3D Ux (1,t) = 0 Ut (x,0)= 2 %3D -1 %3D otherwise

Q: Find the maximum value of 13x^2- 8xy+ 7y^2subject to x^2+ y^2= 1.

A:

Q: Differentiate. x4 y: 3 — х3 y' У -

A:

Q: Solve system of linear DEs  dx/dt+dy/dt+2y+6y=2e^t 2dx/dt+3dy/dt+3x+8y=-1

A: To solve dxdt+dydt+2x+6y=2et2dxdt+3dydt+3x+8y=-1

Q: Evaluate W(3,-1) for the function W(x,y) = 4x^2 + y^2

A: W(x,y) = 4x2 + y2Find W(3,-1)

Q: Differentiate. y=/3x² – 4 -3x y' = 3x - 4 3x y' = (3x2 - 4)-1/2 3 (3x² – 4) /2 3x V3x2 – 4

A:

Q: An ant is standing at the point (1,1,3) on the surface of a bowl with equationz=x^2+…

A:

Q: (2x^2)– (y^2)-2xC+1=0  Find the orthogonal orbital family of the function

A: We have to find the orthogonal trajectory of the function given below: 2x2-y2-2Cx+1=0. Orthogonal…

Q: w(z^2+w^2)dz-z(z^2-w^2)dw=0 find the general solution

A: I have solved the given differential equation by homogeneous differential equations method

Q: Solve the equation xydx - (x + 2y)2dy = o A ewy = cy³ (xy) B ewy = c y³ (x-y) c) exy = c y³ (x+y) D…

A: Given : Note : There is a print mistake in the given equation it must be written as : Differential…

Q: What is general solution of v = ds/dt if v = 2/t^3/2? a.-4/t^1/2 = s^2 + c b.-4/t^1/2 = s + c^2…

A:

Q: Minimize y^4 + x^3 + 3x^2 + 4y^2 - 4xy -5y + 8.   With initial point as (0.5, 1), compute two…

A: As per the question we are given the following bivariate function f(x,y) : y4 + x3 + 3x2 + 4y2 - 4xy…

Q: Integrate (2x - 5) with respect to x from x = 2 to x = 5.

A:

Q: d) f (x-1)² √x dx =

A:

Q: Find the point on the curve y = Vx +1 that is closest to the point (5,0)

A: We will use second derivative test to find the smallest distance among point (5,0) and curve

Q: Solve 4cos^2(t)-15cos(t)-4=0 exactly on the interval 0

A:

Q: 3-2 7) 6 – z*

A:

Q: (0.52)* ) 1 1+x²

A:

Q: What kinds of changes occur in the Coefficients of a Nonbasic Variable when the original model is…

A: Answer is explained below

Q: (2, -4); slope = -3

A: Topic = Coordinate geometry

Q: Solve X' Uxx - Y Uyy = 0 x,y>0 also find its canonical form

A:

Q: Integrate by change of variable, ∫∫R(x + y)e((x^2)-(y^2))dA, where R is the rectangle enclosed by…

A: We need to evaluate integral.

Q: The table below shows the height (in meter) of a javelin as it is thrown and travels across a…

A: