y' = (1-x1)y , y(1) = 1, h = 0.1 1.3477 O 1.3823 O 1.3581 1.3233

Q: Use Euler's method and 4 steps to approximate y(1)

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Q: r*y" – ry' – 3y= 0 2ry" – y' +2y= 0

A: In Frobenius method the solution of an equation y''+p(x)y'+q(x)y=r(x)is y=∑n=0∞ an(x-x0)n

Q: Use the 2 solutions Bernoulli's equation y' + -√√y=0 y x

A: The given differential equation y'+yx-y=0. We have to find the solution of the differential…

Q: Solve: x'y" - 7xy' + 41y =0

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Q: y' + 0.2y = 0, y(0) = 5, h = 0.2 || %3D %3D

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Q: By Lagrange's formula, prove that y =y3-0-3(ys-y- 3) + 0-2 (y_ 3 -y_5).

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Q: titution: 4 11 8 }]ÿ. y(0) = [¯²]. etermined coefficients: 12 -1 · [¹² −¹5]y+[e²].

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Q: Use Gauss-Seidel method to solve for x, X,, Xạ until the relative error falls below 5% Repeat with…

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Q: Substitute this expression for m and the values of e, A, Cp and k into the differential equation…

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Q: f(x) = sin(x) +lox - 7 = 38 find the solution of the following in equation (Newton Raphson Method)…

A: The given function is, f(x)=sinx+10x-7=38. To Find: Solution of the above equation using…

Q: Solve the following equations by Ferobenius' method: x(x-1)y +(3x-1)y'+y=0 x²y-5xy'+9y=0 x²y+6xy'…

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Q: Solve y”+9y = 2cos(3x)+3sin(3x) using the method of undetermined coefficients. Show all support…

A: The given differential equation is…

Q: Solve the following first order equations: (e" + y)dx + (2+x + ye")dy = 0, y(0) = 1.

A: First order linear differential equation

Q: Solve for Y(s) and Y(t)

A: Y(s)=s4−10s3+61s2−360s+9006s3−55s2+217s−1986​ (PLEASE SEE DETAILED INFORMATION ON THE EXPLANATION…

Q: 150x₁ - 15x₂ + 8×3 = 1500 2x₁ + 120x2 - 9x3 = 1200 2x₁-22x₂ + 110x3 = -900

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Q: y' = (1-x²)y , y(1) = 1, h = 0.1 1.0921 1.0986 1.0974 O 1.0935

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Q: 1. y' + 2y = x²y³ .2.3

A: Given problem:- solve the given differential equation y' +2y=x2 y3

Q: Q4) Use the Newton- Raphson method, with 1.5 as starting point, to find solution of f(x)= x-2sinx.

A: Given function f(x)=x-2sinx. The objective is to find the solution by using Newton-Raphson method…

Q: Using Frobenius' method, find solutions to xy'' + 2y' + xy = 0

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Q: Q4: Find the real root of (x) = x' - 7x² + 8x - 3; x, = 5 Newton Raphson method.

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Q: M 3. Solve by using undetermined method Coefficients y" - Sy' + by = xe X of

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Q: y' = e2/y, y(0) = 1, 0 st< 2, h = 0.5 %3D

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Q: Find yp(x) if y(4) — 5y"+4y = eª (122 +90x - 90x²).

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Q: y' + 0.2y = 0, y(0) = 5, h = 0.2 %3D 4.0822 4.0832 4.0951 4.0936

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Q: Solve the give differnetial equation by undetermined coefficients y''' - y'' -16y' + 16y = 5 - ex +…

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Q: Find the solution √√y³(x-2) (5xy' +4y)=2

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Q: Use the method of Laplace transforms to solve the given initial value problem. Here, x' and y'…

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Q: (D²+10D + 25)y = -2xe-5x

A: We have to solve the given differential equation.

Q: tan tr 군 dz C: |리- 2 = 2 ans = -4i %3D

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Q: Solve the following initial value problem over the interval fromt= 0 to 2 where y(0) = 1. Display…

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