(a) A beam is fixed at its left end x = 0 but is simply sup- ported at the other end x = L. Show that its deflection curve is y(x) - (2x4 – 5Lx³ + 3L²+²). 48 EI

Q: H.W3:- Estimate y(0.2) ,using Euler method with step size h=0.1 where y':= -y?cosx „y(0)=1

A:

Q: dy sin x - y where f(n) = 0. dx %D |

A:

Q: If x, y, and z are lengths of the edges of a rectangularbox, then the common length of the box’s…

A:

Q: dw Find the value of- dt at the point (1, In 2 ,0) on the curve x = cos t ,y= sin t, 0 <t< 2n where…

A:

Q: Use the method of Frobenius to find solutions near x =0 of the following differentia equation dy…

A: Given that x2y''+xy'-x(x+1)y=0 Divide the equation with x2, y''+1xy'-1+1xy=0 Take y=∑n=0∞anxn+r Then…

Q: 2. Find the equation of the tangent plane and the normal line at the point (0 ,1 , 2) on the surface…

A:

Q: Given a6x CosT+Sy - .3x. -Siny+ 10x-e -*, defermine (1) T'=S(T) ax T'-

A: Given:T"=6x2y3-cosx+5y2-siny+10x2-e-3xTo determine:i  T'=∫T"dxii  T'=∫T"dy

Q: 1 Let y = -. Find dy and Ay at x = 7 with dx = Ax = – 1. Enter the exact answers. dy = Ay =

A:

Q: Consider the equation (30) dydt=ay−y3=y(a−y2). Draw the bifurcation diagram for equation (30)—that…

A:

Q: - Sva cos 2t dt from x= 0 to x= Find the length of the curve y =

A:

Q: 30 -20 -10 Compare dy with (r-y} dydx 10 20 30

A:

Q: I. Bernoulli's Equation 1. 2ydx + x(x² In y-1)dy = 0

A:

Q: A particle was following the trajectory r(t) = (e', sin (2t), t), but it starts flying tangentially…

A: SolutionGivenA particle was following the trajectory r(t)= (et,sin(2t),t) , but it starts flying…

Q: - Find dy at x = -1 if y=u³ +5u-4 and u = x² + x. dx

A:

Q: 1 Let y = -. Find dy and Ay at x = 8 with dx = Ax = –1. х Enter the exact answers. dy = Ay =

A:

Q: I need help with 1a)

A: straight line becomes y=x

Q: If y In(z- y) then y at the point where y = 0 is equal to

A:

Q: [-+] 5t dy 3.1는-51%3D-y dt

A: This is a linear 1st order differential equation.

Q: 3. Given that the acceleration function of an object moving along a line is a(t) = 3 cos(t)-2 sin(t)…

A: Proceed as shown

Q: Integrate f(x,y) = x-5y over the curve C: x +y = 64 in the first quadrant from (0,8) to (V32,/32).…

A: Formula Used:Line integral ∫Cf(x, y) ds=∫abf(x(t), y(t)) dxdt2+dydt2dt

Q: Find the differential dy of the function y = Provide your answer below: dy = dx 5x4 + 4 4x + 3

A:

Q: -If x= cot- VE, y = ;, find dy dx'dx2 at t = 2.

A: We will use the formula (f(g(x))' = f'(g(x))g'(x)uv' = vu'-uv'v2 Given x = cot-1ty = 1t+1 Then dxdt…

Q: dz Find dz -3 and of z = x³ In(1 + xy). dy

A:

Q: The two functions x(t) and y(t) satisfy the simultaneous equations dx/dt - 2y = -sin(t), dy/dt + 2x…

A: Given: dx/dt - 2y = -sin(t), dy/dt + 2x = 5cos(t)

Q: Evaluate the deflection of a vibrating string of unit length having fixed ends with initial velocity…

A: Consider the wave equation    ∂^2u∂x2=1c2∂^2u∂t2     .....(1)   here U(x ,t) is the defection of the…

Q: *Yx = cos°(t), y = sin (1),z =, dw = 1 dt w =-+2,x= z Z ==, at t = 3 Ans. t=3

A: Given query is to find derivative of w with respect to t.

Q: Given a particle is moving in a curve r(t) = cos 7t i + sin 7t j + 6t k. Find the tangential…

A: Given a particle is moving in a curve rt=cos 7t i^+sin 7t j^+6t k^to find the tangential and normal…

Q: Use the method of Example 4 to compute dy/dx p at P = (2, 1) on the curve y^2x^3 + y3^x^4 −…

A: we can solve by this implicit differentiation, so,

Q: c3 Q3/ Evaluate , S(6x³ + 6y²) dx dy using Simpson's 1/3 rule in x-axis and Trapizodal rule in y…

A: Given ∫23∫466x3+6y2dxdy

Q: 1.Find the critical points, classify each critical point as stable, unstable or semi-stable . dy 10…

A: Given: dydx=10+3y-y2 To Find: a. Critical Pointsb. Classify each critical point as stable, unstable…

Q: c) to the left of z = -2.46 and to the right of z = 1.72. Gaussian Curve

A:

Q: (2² + y² – 1)³ – x²y3 = 0, 2- Given the curve dy find dx -2 2

A:

Q: Find the differential dy of the function y Provide your answer below: dy= dx = 5x4 + 4 4x + 3

A: y=5x4+44x+3Differentiate w.r.t xdydx=4x+320x3-5x4+444x+32

Q: [&+2y)dx +(x² - 3y°)dy (3+2 4. Evaluate where C is any smooth curve from the point A (1, 0) to the…

A:

Q: 7. Find fSp(x - y)*dx dy, where D is Figure 17.2.13. y A シ=V ソ=2-

A: Answer is 64/35

Q: #@3 g (x1y) =- 7x3 -49xy + 7y3 Find and elassify all the extrema of the fine tion

A: Given- gx,y=7x3-49xy+7y3 To Find- All the extrema of the above function. Concept Used- Using the…

Q: Given a particle is moving in a curve r(t) = cos  7t i + sin 7t j +  8t k. Find the tangential…

A: Given a particle is moving in a curve, r(t) = cos  7t i + sin 7t j +  8t k. To Find the tangential…

Q: When reduced to a linear DE of order one in z, the Bernoulli's equation +y)=3x<y becomes dx dz 1 A…

A: Topic  =Differential equation Correct option  = A

Q: 14. Evaluate 4y dx +3ax dy, where C is the trapezoid with vertices (0,0), (2,0), (6,2) and (0,2).

A:

Q: Find an equation of the tangent llne to the về at the given poln 6x y = (x + 1)2' (0, 0)

A:

Q: #@3 g (x; y) = 7x3 - 49IXY + 7y3 Find and elassify all the extreema of the fine tion

A:

Q: solve the Cauchy problem on the real line for the given initial position and velocity functions and…

A: Given that, and ,  By the Cauchy problem ,

Q: Exer 1. Solve the following first-order boundary value problem 2 u +4 u, + 40 u = u(z, 0) = e* 60…

A: We have to find solution of given pde

Q: Q1: Use Green's theorem to evalute S. (xy + y2)dx + x²dy by the curve y y = x2.

A:

Q: a) Find the differential dy of y=x2+2x+5. (b) Evaluate dy for x=3, dx=1/2. (a) dy=????????? dx (b)…

A: GIVEN THAT y=x2+2x+5

Q: 18. The equation of the tangent line to 2² sin T # 0 f(x) = 0 x = 0 at r = 0 is 1 (a) y = -x (b) y =…

A: Note:Since you have asked  multiple questions ,we will solve first question for you.To get remaining…

Q: uct Theorem. 10. K y KM=

A: Solution

Q: the separable Pential equation dy In(x³) dx ху subject to the initial condition У(1) %3D —3.…

A: