Solve the following equation using the Galerkin's method (at lease 2 parameter solution). Please help, I couldn't figure the right way.

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Q: Without using a calculator, find all the solutions of sec(t) = 1 %3D where-T < t < T.

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Q: 5. Show that 1 T = VI? + y? satisfies the equation Tz + Tyy = T3

A: Given T(x,y)=1x2+y2

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A: Given data:- The given integral ∫ln34ln43 etdt1+e2t

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A: The given ODE is given as: x2D2+3xD+1y=11−x2

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A: Given: The function fx=x-23+4 and initial guess x1=2, To find: the reason for failure of newton's…

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A: Given: n≠0,1y'+p(t)y=q(t)yn

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A: Given equation is, x2D2+3xD+1y=1(1-x)2 Take, (x2D2+3xD+1)y=0 Then assume, y=xn,…

Q: Given x(t) as shown

A: Given, x(t) as shown :

Q: Solve the initia value problem: dy 1 and y(1) = 1. dr

A: To solve the initial value problem dydx=x-1x    and    y1=1

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Q: y" – 2y' + y = –3 – x + x²,

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Q: 1. (a) Solve for the general solution y' + (cotx)y : = xCScx

A: Solution1;a Given the diffrential equation yι+cotxy=xCScxGiven the diffrential equation  is of the…

Q: Solve the following set of equations using the Gaussian method.−2x1 + 3x2 = 5x1 + x2 = 10

A: Given −2x1 + 3x2 = 5x1 + x2 = 10

Q: solve the following non-linear equation with the following non-linear  methods 1. Regula falsi…

A: (1) Regula falsi method  xex-cosx=0fx=xex-cosx x=0⇒fx=-1x=1⇒fx=2.178 1st iteration  f0=-1&lt;0 and…

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A: We have to solve the first order differential equation: y'+2y=y2 Rewriting the above equation,…

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A: The given Bernoulli differential equation is dydx+2xy=-x2y2cos x.....(1) We have to solve the…

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A: According to guidelines we can solve only one problem

Q: Can Someone answer this and find the diffferential equation by eliminating the arbitrary constant??…

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Q: 3x'y"+2xy' = 0 %3D

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Q: (4.ry + 3a)dr + (2y + 2a²) = 0, y(0) = -2

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Q: dt (b) t - V1- t2

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Q: Solve the following initial value problem. 5 y'"(t) = 18t – 84t°, y(0) = 5, y'(0) = 0 y =

A: Given that a differential equations of y"(t) and we find. Value of y. We know that integration of xn…

Q: Solve the following Bernoulli equation y' – y = (2t – 3)y i

A: Bernoulli Equation : Consider y'+p(x) y=q(x)ynThen we let v=y1-nAnd solve the equation by…

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Q: The method of solution of the Cauchy-Euler equation is to try solution of the form y=e" ulgn O ihi O

A: Cauchy–Euler equation is a linear homogeneous ordinary differential equation with variable…

Q: Regula falsi method 2.secant method

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Q: For the Following difpe rential equation, determine the General /Particular solutions. (1-…

A: In this question we have to find the general/particular solution of the differential equation.

Q: When we use Euler's method to solve the IVP: y' = f(t,y), a <t < b, y(to) = a, we get the formula of…

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Q: Solve the following IVPS using LT method. y" – 2y' + y = 8(t – 1) y(0) = 3, y'(0) = -4. |

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Q: 051 ds 12t (3t-1) , s() = 3 %3D dt Ans * S = 1 (3t-1) -5

A: The solution is as follows below :

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Q: Find the general solution to the given Euler equation. Assume x &gt; 0 9x2y" + 15xy' + y = 0

A: Solution:- The given differential equation is  9x2y''+15xy'+y=0..........(1)

Q: Solve the following initial value problem. У () - Зу%3D 12, У(0) 3D0

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Q: Find the general solution to the equation 4(x^2)y''+8xy'+y=0 by the method of Frobenius.

A: The differential equation is 4(x2)y''+8xy'+y=0. Let the solution be y=∑n=0∞anxn+r, then its…

Q: Solve the following problem by using the KKT conditions P : Min er²+y² s.t. 2x – y = 4.

A: To find - Solve the following problem by using the KKT conditions                  P : Min ex2 +…

Q: The method of solution of the Cauchy - Euler equation is to try solution of the form y=x" ulgo ihs O

A: Answer

Q: Determine whether the following equation are separable. If so, solve the initial value problem.…

A: We have to determine whether the equation is separable: y't=ety, y0=1. Rewriting the given…

Q: Solve the ruiftlal -value problem sy'-3 y =0 1 yl0) = - | y'(0) = 24 ニ ylo)= ? %3D

A: The differential equation is given as 2y''+5y'-3y=0 The corresponding auxiliary equation is…

Q: Apply the appropriate method to solve the Cauchy-Euler equation 2x²y "+ 5xy'+ y = x² – x

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Q: Solve the following initial value problem y" + 4y = 8 8(t – 27); y(0) = 3, y'(0) = 0 . %3D

A: the formulas are given below the solutions so look at them

Q: derive and Provide an  in-depth solution of the following

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Q: Solve the following initial Value problem including Riccati equation: dy -y+xy +1 2 ylo) = 1 Where…

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Q: Solve the following Cauchy-Euler equation: 4x2 dr? dy dy 8r +y = 0. dr

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Q: of Solve the initial value problem 3D6 xdy + dy=ydx, yca) =6 t. %31

A: To solve the given initial value problem xdy+dy=ydx y(2)=6

Q: Solve the following initial value problem and present its particular solution: 1. у" + у' — 2у %3D0,…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…