Solve for the general solution: y" + 3y = x + 1. Oy(x) = C₁ + c₂e-3x + 2x/9 + x^2/6 y(x) = C₁ + c2e-3x + x/9 + 2x^2/3 O y(x) = C₁ + c₂e-3x + x/9 + 3x^2/4 Oy(x) = C₁ + c2e-3x + 2x/9 + x^2/6

Q: By cardanos method x^3-6x^2-6=0 is r1=y-a/3 and a=-6 find y

A: Given, x3-6x2-6=0 where x=y-a3 and a=-6. We have to find y.

Q: Find the general solution of xy'-2y=2x^2lnx, x>0. write the answer explicitly

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Q: Find the general solution of the D.E. (y^2- 2xy + 6x) dx = (x^2 - 2xy + 2) dy = 0 Show your…

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Q: Obtain the general solution. 1. (D^4 - 5D^2 - 6D - 2)y = 0 2. (D^2 - 2D + 2)y = 0

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Q: Solve using method of undetermined coefficients (D2 + 4D + 5) = 13e3x + 50x When x=0, y=0, y'=0

A: Solution is given below:

Q: 2.x²y"+xy'–3y= 0,x>0

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Q: Find the general solution of the D.E (y^2 – 2xy + 6x)dx – (x^2 – 2xy + 2)dy = 0 Show your solutions…

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Q: Solve for the general solution of (D: - 5D + 6)y = 4e* using method of undetermined coefficients.

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Q: Solve the IVP y′′ + 2y′ + 5y = 8e^(−t), y(0) = 0, y′(0) = 8

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Q: Find the solution of the D.E. xydx - (x? + 3y) dy = 0 Show your solutions on a separate sheet of…

A: Given differential equation is xydx−x2+3y2dy=0....1. We have to find the solution of the given…

Q: Solve for y(x):

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Q: Find the general solution of the D.E. (y^2 - 2xy + 6x) dx = (x^2 - 2xy + 2) dy = 0 Show your…

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Q: Solve using De Moivre's Theorem to find the general solution.  y^(8) + 8y^(4) +16y=0

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Q: find general solution of (x^2 +y^2 +z^2)p +(x^2 +y^2 -xz)q = z(x+y)

A: Given equation is(x2+y2+z2)p+(x2+y2-xz)q=z(x+y)

Q: х2у" + x(x-1)у' + (1-x)у %3D 0

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Q: Solve using non exact method r^2 b dr + (1 + r^3) db = 0

A: Solve the given differential equations.

Q: 7 0-3 -9 -2 3 18 0-8 y, y(0) = 2 3

A: Given y'=70-3-9-23180-8y Also given y0=23-1   To reduce to row echelon form and solve for constant…

Q: Differentiate y = (2х + 1) а. 2 y = (2х + 1) b. 1 y = 2/(2х + 1) 1 y = (2х + 1) d. y = (2х + 1) е.…

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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: Solve: dz + 4x = yº O 11r¹y+y¹¹ = C O 1lry - y¹¹ = C O 11xy + y = C O 11x¹y - y¹ = C

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Q: Solve for the particular solution: x²y" - xy' - 3y = In x. Oyp = (In x)/3 - 2/9 yp = -x/3 + 2/9 Oyp…

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Q: x=4 y=5 z=(x÷y×√y-x^2)/(y×√y-√x-2/(√x+√3)) solve with betlab

A: We need to evaluate the expression: (x÷y×y-x2)/(y×y-x-2/(x+3)) for x=4, y=5 using a computer algebra…

Q: Find a general solution to the DE (D^2 + D- 6) y = 5e^2t by: a. Undetermined coefficients b.…

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Q: Example 4: Solve iii) y" + 2y' – 3y = 7x – 3x?. -

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