Given y In(z+1) dy what is ? dy dz z+(x+1) In(z+1) 1²(x+1) (z+1) In(z+1)–x 1²(r+1) dy z-(x+1) In(r+1) z° (x+1) dy -z-(x+1) In(x+1) 1°(x+1) dy dz

Q: 2. Consider the PDE u; - t ux+tu=0 for - o <x< ∞ and 0 <t< ∞ with u (0, x) = sine x. Determine u (t,…

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Q: 5. A clamped cubic spline S on [0, 2] is defined by So(x) – 1+ Ar + Bx - 23, 0<x < 1, S(x) – S1(x) –…

A: Using the conditions of cubic spline,

Q: 5. Use Green's theorem to evaluate where C is shown below (6y - 9x) dy — (xy - x³)dx (-1,4) (-1,-1)…

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Q: [-4ycos(x)+4sin(x)cos(x) +sec°(x)]dx +[4y=4sin(x)]dy = 0, y= TC = 0 2y-4ysin(x)-cos(2x)+ tan(x)= 1…

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Q: 15 - The number Af(x,y) = f(x + dx, y+ dy) – f(x, y) is estimated by df below. Calculate df at P(3,…

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Q: (1) (x²+2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x…

A: Note: As per guidelines of Bartleby we have to solve one question at a time kindly repost remaining…

Q: 2. Find a general solution to the PDE du = k- êt with the given boundary conditions u(x,0) = 6 sin L…

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Q: 6. Let u (r, t) be the solution of the initial-boundary value problem ut = 9uzz 0 0, %3D uz (0, t)…

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Q: Show that each of the functions on the left is a 3-parameter family of solutions of the DE on its…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: -2+z) ds over t e point (0, 0, 0)

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Q: Find the differential dy: y = In(sec² ( 3ª²–20+5 312-2x+5 O (E) None of the choices dy = 2 (x – 1)…

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Q: 2. The graph of y = cosh a is (a) concave up on its entire domain because y" = coshr > 0 for all r €…

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Q: (1) 2xyy' + y² = 2x² separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in…

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Q: Find L(x). 2y -a = 3t y+z' = 3e z (0) = y (0) = 0 = (x) T0 (s+1)(s–2)(s²+1) OL(z) = 3s2 3(s-1) %3D…

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Q: homogeneous y". 2y". uy's8ys nd soluti on L'inear ODES No7 - 3x e +8x?

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Q: 7. Evaluatexyddx+e*dy where C goes along the x-axis from (0,0) to (2,0) and then along the parabola…

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Q: ( w"-y+ (x+ ¥)'y = In (금 + z) y(-}) = 1, y' (-}) = o %3D

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Q: (1) (x²+2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x…

A: The answers are in step 2

Q: х. у 2) w=¨+2,x= cos“(t), y = sin°(1), z =-, at t = 3 Z Z t

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Q: 3. For Z = x²secy,prove that Zxy is equal toZyx

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Q: ax² + bx+c, g(x) = -ax² + bx+c, where ac # 0, th hat f(x) g(x)=0 has at least two rool roots

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Q: 1) a. XUxt Uyy=Xx- hyperbelic for x<0 B=O C=1 ム--4 Porobolic X=0 elliptic x70 b. xUxx -2xy Uy+ fuyy…

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: f(x) = In(2 + cos x). -2.125, xk+1 = Ik +0.5, yk = f (xk), k E N To = %3D %3D = 0r

A: The function is fx=ln2+cosx Conditions: x0=-2.125, xk+1=xk+0.5, yk=fxk, k∈ℕ xk+1=xk+0.5…

Q: y = In z I at x = 1: Oy=-x+1 Oy=-x-1 Oy=x-1 Oy=x+1

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: 1. The loop of y² = x * (4 - x) 2. у %3D 6х — х?, y = x² – 2x - 3. у %3D 2х y2 + 4x – 8 = 0 - 4. An…

A: Question 4 : Arch of y = (1/3)sin(x/3) First find out intersection points :  y = 0 (1/3)sin(x/3) = 0…

Q: Prove that v = In [(x-2)^2 + (y - N)^2] is harmonic in every region does not include .the point ( 2,…

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Q: a When reduced to a linear DE of order one in z, the Bernoulli's equation dx becomes dz A + z( − 1)…

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Q: H.W/ using convolution theorem to find L-1

A: We have to find the Laplace inverse by using convolution theorem

Q: a) a fonction f (xy) is homogeneous of degree 7 in X and y it and only it

A: As per bartleby guidelines we only give first question answers.

Q: 6y" – 5y' + y = 0, y(0) = 4, y'(0) = 0

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Q: The general solution for D. E. e'y' – + e' = 0 is - x² +xy O y = e¬* + In ( Inlx|+c x+y-1 O y = -x +…

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Q: 4. Aşağıdaki denklemi y(2)=1 başlangıç koşulu için çözünüz dy (x² + 1 ) + 4xy = x dx

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Q: 4y" – 9y = 0

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Q: (1) 2xy + y² = 2x² separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y…

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Q: 4. Evaluate ryz dV, S is the solid in the first octant S bounded by the cylinders x² + y² = 4 and x²…

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Q: The general solution of 2y" -xy'+ (x - 24 ly = 0, is: OaC,xJ,) + C,xJ_(2) OcC,,(3) + C,xJ_(3x)…

A: The given equation is  x2y"-xy'+x2-24y=0                                  (1) The differential…

Q: DE 1. (1-x)y'-4xy +5y = cosx d'u du 2. at 3. d²u कर = d³x dx d²x +(4t-1)- +sin t - dt² dt dt3 4.…

A: To identify the type,order,degree, linearity if give differential equation.

Q: 3. Find the general solution of xy' = x – y + xytanx a. xycos x = xsin x + cos x +C b. ycos x = xsin…

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Q: finde general Sonotion 1- y' = See'y 2X-1 %3D 2- 3-Xy=Y+2x $ in?

A: This question can be solved by applying the concept of differential equation.

Q: J arctan x dx A C In(x2) + C In(x² + 1) + C x arctanx x arctan X - | 1. x arctan x +- In(x2) + C x…

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Q: X>0 için x2y''-xy'+2y=x2    diferansiyel denklemini çözünüz.

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Q: 4y" – y = 0, У-2) %3D 1, у(-2) %3D -1

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Q: Given an IVP d"y an (x) dn-1 + an-1(x)- drn-1 dy +...+ a1 (x) + ao (2)y = g(x) dx y(To) = Yo, y'(ro)…

A: Existence and uniqueness theorem application:

Q: 2х + 3 dx Using partial fractions, the integral x(x² + 2x + 5) – (x² + 2x + 5) Вх + С + +b' ax? can…

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Q: 2. Consider the PDE u -t ux+ tu =0_for - ∞ <x< ∞ and 0 <t< ∞ with u (0, x) = sine x. Determine u (t,…

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Q: se Euler method to compute ys for the DE yy'=2 x for y(1)=3

A: Euler's Method

Q: 1 Find skewness and kurtosis for the RV X with PDF f(x) = 2T -∞ < x < x.

A: PDF of X,  fX(x) = 12πe-x22, -∞&lt;x&lt;∞ So, μ = E(X) = ∫-∞∞x f(x) dx=∫-∞∞x 12πe-x22 dx=0 [as…

Q: Given an IVP d"y dz" dn-ly +...+ a1 (x) dy + ao (x)y = g(x) dr an (x) + an-1(x) dzn-1 y(20) = Yo,…

A: NOTE: Refresh your page if you can't see any equations. .

Q: (e) dy = separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of…

A: Let's solve for diffrential equation.