Using Euler's Method, Solve for K in Y(4) = K Given the following: Y' = 2x -2y +3 h = 0.2 Y(3) = -6

Q: = Find the solution of the following Bernoulli's equation: dy x+y=y²x³ Inx dx

A: The Bernoulli equation is as follows:To Find:The solution of the above differential equation.

Q: x*у + 2ху — у3 0, x>0

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Q: Find a particular solution of the equation using the method of undetermined coefficients. y' + 2y…

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Q: X1 - x2 +1 = 0) 1. Solve : x,? + x,² = 4 } with seed values x1(0) = 0.8 and x2(0) = 1.8. Compute up…

A: x1 - x2 + 1 = 0  =>  x1 = x2 - 1  x12 + x22 = 4 =>  x2 = (4 - x12)1/2    x1(0) = 0.8, x2(0) =…

Q: Solve. y"-100y=e-¹t The general solution will be y(t) = Cle 10t + c₂e -10t +

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Q: Use 2 steps of Euler's Method with a stepsize of A 0.10 to approximate the value of y(1.20), where y…

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Q: y y' + y? = x-2 X

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Q: Show the solution using methods of undetermined coefficient. The answer should be Y = C1et + C2…

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Q: Solve the equation y" – 10y' + 25y = t-5e5t.

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Q: 1. y' = 2x? +3y? – 2, y(2) = 1; h= 0.05

A: I have first written the recurrence relation for Euler Method and then solved the problem.

Q: valuate the following: a. L {e3t + cos6t - e3t cos6t} b. L-1 {6s/(s2 + 25) + 3/(s2 + 25)} c. L-1…

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Q: p" +2y' – xy = 0 n(x)= e

A: Given

Q: The equation f(x)=ex -x has a single real root. Find it using the Bisection method (do at least 2…

A: To find : The root of the equation f(x) = ex - x using bisection method.

Q: uation: Solve the e * + 2xdy = 0. = x

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Q: 5. Solve, using the method of undetermined coefficients: y" + 2y' = 2x + 5 – e-2= %3D

A: First we shall get particular solution of y''+2y'=2x+5. Using method of undetermined coefficients y…

Q: Solve by undetermined coefficients. y" – 3y' = 6e – 2e", y(0) = 0, y (0) = 0.

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Q: (2x2y+3y3)dx - (x3+2xy2)dy = C Solve for Particular Solution when x = 1, y = 1

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Q: (b) Solve y" +y - 6y = e2t.

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Q: Solve x-x – 0.12 = 0 by starting from X0 = 1.

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Q: X=4/5y Y=3x+7 Solve using substitution. (X,y)= ( )

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Q: Solve: y' + 4y - 17y' - 60y: = y(0) = - 4, y'(0) = - -5, y(t) = = - 72et y''(0) = - 65

A: First we will find the Auxiliary equation of given differential equation to get Complementry…

Q: Find the general solution of y" - 6y"=3 - cosx.

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Q: Find the specific solution. Hint: factor by grouping in pairs first. x" + 2x" - 9x'- 18x = 0,…

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Q: Solve the equation 2sin(x) – 1 = 0 over [0, 27]. Please choose all the possible solutions. 1/2…

A: Here we have to solve the equation         2 sin(x) - 1 = 0  over [ 0, 2pi] .

Q: Find the solution of y" – y – 6y = 48 et with y(0) = 7 and y' (0) = 3.

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Q: ii) Solve (x D²– 3xD+4) y = x² given that y(1) =1 and %3D - y'(1)= 0.

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Q: Demand for a certain kind of SUV obeys the following equation, D(x, y)  =  22,000 − 1 2 √ x− 5(0.6y…

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Q: Solver y = x + y 95x531 Use y (₁) = 1, h=0.5 by Using Runge-four Methad ? Ans. y(2)=1.8956

A: Given: y'=1x+y  , 0≤x≤2y(0)=1h=0.5Using Runge Kutta…