2) Integrate using trig sub.:

Q: (개) -3 dy 3yz

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Q: B. ty" – (t+ 1)y' +y = t?

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Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)=0 Find y(0.1)?

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Q: y"– 2y' + 1 = (x + 1)e²x

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Q: 16-x2 dx

A: Given: I=∫16-x2xdx for evaluating given integral, we substitute x=4sinθ…

Q: Solve me initial No need to Jimphiry. by value the separaion of variables a.

A: To solve the following initial value problems by the separation of variables.a y'=1+y2, y0=1b…

Q: S √ + (25 +4z²)(z³ + 1)¹² dz

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Q: хах can be solved by either algebraic substitution or integration by parts? х — 1

A: Given: ∫xdxx-1 We have tell it can be solved by either algebraic substitution or  integration by…

Q: 3 -dr ¤(x – 2) Integrate:

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Q: + xy' + y = 8 Inx

A: Consider the given differential equation as x2y''+xy'+y=8lnx. Since the differential equation is…

Q: 2. 3t3 dx = x(x²+ 212) dt. Solve by two methods. %3D

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Q: dx Solve the differontial equation using the power seres method.

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Q: Find the first approximation to the root of the equation xlog r-0.8 0using Regular-Falsi method…

A: The false position method or the Regula-Falsi method uses the formula below to perform the…

Q: (x² + 8y²)dx – 6xydy = 0

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Q: Solve using Crámer's Rule. X + 2y + = 2 3z = -10 y 2x +2y %3D 3= IL || ||

A: x+2y+z=2 y-3z=-10 2x+2y=0

Q: How do I integrate the following equation? U(z)=2.8*exp(-z/6300)

A: Consider the given equation as Uz=2.8*e-z6300

Q: Solve cosh 2r = tanh-r.

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Q: %3D or False: If y=lne, then y'= 1? Explain

A: y=ln(e) => y = 1

Q: (2) y ty= tanx (0)=2 (0) = |0

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Q: In Exercises 44 47 use the Newton-Raphson method to find an approximate value of the given root. Use…

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Q: Using Newton-Raphson method, show that VN is given by Pn+1 N Pn + "dL){ =

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Q: DB#13: SOLVE FOR X: VZx+3-1= Vx+I %3D

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Q: (D² + 4)y = 4 cot 2x

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Q: How do I solve this Bernoulli equation using P(x), Q(x) and n as well as u(y)?

A: First, we write it in form of Bernoulli Differential equation.

Q: (b) Use the model from part a to determine number of bacteria, rounded to a whole nun after 2 hours:

A: we have to find

Q: 01 (solve exact de) Y'(2y - xexy) = 2 + yeXY %3D

A: Given differential equation is  y'(2y-xexy)=2+yexy we have to solve this differential equation.

Q: Find the root of system of equations using Newton Method . Employ initial guesses of x=y=1.2 y=-x²…

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Q: -7* dy (Use integration by substation.)

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: The formula to calculate the gravitational force between two objects is GM, M2 where M1 and M2 are…

A: We use inverse mathematics operations

Q: %3D By using the substitution x =", show that In 2 0.68. Give a reason as to why the approximation…

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Q: 'ain(t -플)') co여(t- dt

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Q: Tim Find the first approximation to the root of the equation -2x-5-0using Regular-Falsi method…

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Q: How could I solve this using shell

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Q: Appy Runge Kutta method to solve y' = 1+ y? ,y(0) = 0, Calculate the value of y %3D correct to 4…

A: Here we use the second order R-K method with step size h=0.2. the values of y at x=0, 0.2 , 0.4 are…

Q: using Trgananetre Represent the Fonrier Selies 1 fex) ○くxく1 -1 -1 (x 40

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Q: Solve using integration by parts de 3/2

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Q: Use Newton's method to find solutions of the non-linear equation for five iterations. Show working…

A: Here we will apply the process of Newton's method

Q: x²- y2)dydx a.

A: Solution :-

Q: y (+zy'+y= ctDsint %3D

A: Given an ordinary non- homogenous differential equation : y(4)+2y'+y=(t+1)sint We need to find the…

Q: qunerai solution xy'=y+ Vxy 3. Find the of

A: Given differential equation, xy'=y+xy Find the general solution of the above differential equation…

Q: (2) / 1 - 12/9 - x2 dx

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Q: SoSVI+ y³ dydx =?

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Q: Solve for X - In (+6) - In3= h v %3D

A: To solve for x.

Q: test for the exactness and solve the IVP, critically outlinethe particular solution. (x + 5exy)dx…

A: Given differential equation is x+5exydx-exdy=0, y0=-2

Q: max -a? – ry-y? r - 2y <-1 2.r + y 2 2

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Q: Solve using integration by parts: a) ſeºsin(0) dO

A: let I=∫eθsinθ dθ we need to evaluate the above integral by integration by parts method. the…

Q: 8. Use variation of parameters. а. (D? — 1)у %3D ех + 1 Show Complete Solution Answers: a. y = c,e*…

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Q: Evaluate In(3 + j4)

A: