Determine the second solution and the general solution of the differential equation (1-2x-x²)y" + 2(1 + x)y' - 2y = 0, knowing that y₁(x) = x+1, using the order reduction method. You can use the general equation y₂(x) = y₁(x) √ e-spo -P(x)dx dx dx.

Q: (x+2)y" - y - (x+3)y = 0,

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Q: xy' = y + xe/x

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Q: (2xy² + 2y) + (2x²y + 2x)y' = 0

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Q: Find the general solution by undetermined coefficients.  y'' + y = 2x2e-x.

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Q: Find the solution to the equation y' - y = x2y2

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Q: The general solution of y' x2 can be written in the form

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A: Given differential equation is                                           dydx+yP(x)=ynQ(x);  x=y1-n…

Q: solution of the differential equation (x +3) y’ / (2x -3y -4) = 5

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Q: + ¹² = 4t, where y'(1) = 1 and y(1)=2. 4) Solve y" +

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Q: (x+2)y" - y' - (x + 3) y = 0,

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Q: Solve y'' − 4y' + 4y = 3e2t

A: Solve y'' − 4y' + 4y = 3e2t

Q: (x²-1)y" + 2y' - (x - 1)(x + 1)² = 0

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Q: Solve the differential g(x) = equation. g'(x) = 6x², g(0) = -6

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A: Given data (1+2y)3+ex(sin2y-ycosex2=3y and find 3rd derivative or d3dx3=?

Q: Solve (1-x³) y' -2(1+x) y = y5/2 Bernouilli

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Q: (x + 2)y" - y - (x + 3)y = 0,

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Q: y' = (4x + y)?

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Q: - 4. 3y(x² − 1)dx + (x³ + 8y − 3x)dy = 0; when x = 0, y = 1

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Q: O https docs.google.. 48 Evaluate D(3 sin x+4cos 4x). A. 3 cosx-4 sin 4x B. 3cosx-16 sin 4x C. -3…

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