1. Use the Piecewise Linear Algorithm to approximate the solution to the boundary-value problem + y = 4 cos 16 0

Q: a = < x, y, 1 >b = < 1, -1, 3 >|a| = (14)^(1/2)/2a•b = 5Find all possible values of x…

A: As we know dot product and given information

Q: Solve using variation of parameters y"" + 2y" - 5y' - 6y = e-*

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Q: PROBLEM: Find the root of the function: f(x) = x5 + 2x+ – 3x³ + 4x² –- 5x + 6 using Regula Falsi…

A: solution:  f(x)=x5+2x4-3x3+4x2-5x+6       xL=-4,  xU=-3Ist iteration…

Q: The equation e^(x/3) + x − 4 = 0 has a solution on [0; 4]. Find the root using ; a) Secant method,…

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Q: a

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Q: Find the general solution of the equation 3x*(x+1)*y"+(1+2x)*y'+2*y=0 if a particualar solution of…

A: The relationship between the coefficients of the differential equation's power series solution is…

Q: 4) Use the fixed-point iteration method to estimate one of the roots of x2 = 2x + 3 with an accuracy…

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Q: If APOR ATSR, find SR. 2X-1 2r-1 P. 60 4x- 26 R 38 1/x-3

A: Given, ∆PQR ~ ∆TSR  We have to find the value of SR

Q: Solve the IVP, explicitly if possible. 3y x+9(-7)=1 (x– 7)* 8. y=(x+9)3 (x + 9|) yl = (x+9|)

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Q: 1. x3 – 2x2 – 5 = 0, [1,4]

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Q: Q1// Use Tow Phase method to solve the Mathematical model (Stop at Table 1 in Stage Two) MinZ…

A: The given LPP is, Min Z= x1-2x2s.t.       x1+x2≥2          -x1+x2≥1                   x2≤3and…

Q: Consider the following quadratic f(x) = x² – 7x + 3 with the roots a and ß. %3D Suppose the new…

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Q: would you prove that the answers to the diophantine equation y^2-x^3=0 are the pairs (n^2,n^3) for…

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Q: Use reduction of order and y₁(x) as one complementary function to find a second independent…

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Q: Zyyy=24x-96y+5 denkleminin genel çözümü aşağıdakilerden hangisidir? O a. z=4x^(2)…

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Q: 5. Find the general solution of the equation _ x² + y² Z (y-x)p+ (y + x)q=

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Q: The solution of (1 - y ^ 2) * d * x + (1 + x ^ 2) * d * y = 0

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Q: The equation x''+ x = sin t has a bounded solution. true or false ?

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Q: The solution of the following Bernoulli's equation y' + 3x²y = 4x²y² is: Oy= 3/(4+3Ce^(x^3 ) ) Oy=…

A: The given Bernoulli's equation is, y'+3x2y=4x2y2. To find: The solution of the given differential…

Q: Find x and y. if (x y) (² _-3) = 4 -1 = (2-4).

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Q: Use the following methods to solve for the root of the equation f(x) = xe~* – sinx a. Direct Search…

A: Direct search method: If f(x)=0 has a root in between a and b, then divide the interval into…

Q: 4. Determine all the critical numbe f(x)=x-sin(2x) on [0,27].

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Q: secant

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Q: 7) 3x +3e'x2/3+tx'=0

A: Given 3x+3etx23+tx'=0

Q: 1. Solve the approximate root of f(x) = x^5 -3 using at least 5 iterations on Bisection Method with…

A: Given function is f(x)=x5-3 With a=0, b=10 Here f(0)=-3<0f(10)=9997>0 Since f(0)f(10)<0…

Q: 11) Use y = - -az" to solve (3-2²)y" - 3xy' - y = 0. 1=0

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Q: given q(x) = -5x-4/6x^2+3 find the critical numbers

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Q: 5. Given: f (x) = ax³ – 9x² + 2x – 4 and g(x) = bx³ – 5x² + 62x + 70 | Solve for all values of a and…

A: We have to find

Q: Consider the estimated quadratic model   y ^ = 23 + 1.6x − 0.02x2. Now, Predict y when x equals 10,…

A: The objective is to find Predict y when x equals 10, 20, and 30.

Q: y-y"+y'- y = xe* -e-x + 7

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.