Find a series and a polynomial solution of the differential equation: (1 - x²)y" - 2xy' + 20y = 0.

Q: Use the method of undetermined coefficients to solve the differential equa- -2x y" + 5y' + 6y = e-®…

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Q: solve the differential equation using variation of parameters: 2x2y′′ + 5xy′ + 9y = -x2 - 2x. only…

A: The given problem is to find the solution for the given differential equation by using the variation…

Q: Use the method of undetermined coefficients to solve the differential equations

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Calculate a general solution of the differential equation: shot 24 rly show the steps.

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Q: 2x dy 2х. -y = x² - x; y(4) =2 dx

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Q: Solve the differential equation  2y" + 60y = 2x2y" + 4xy'  . Then evaluate the Legendre polynomial…

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Q: Solve the differential equation: (x^2 – xy + y^2)dx – xydy = 0.

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Q: Form the differential equation of family of lines situated at a constant distance p from the origin.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: dy 2х-5у+3 %3D dx 2x+4у-6 II

A: Given: dydx=2x-5y+32x+4y-6

Q: differential equation:

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Q: Solve the differential equation using series: (x2 - 1)y'' + xy' - y = 0

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Q: Solve the differential equation 5y" - 5x2y" -10xy' + 100y = 0 . Then evaluate the Legendre…

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Q: d²y dx² 3 7 + 3y (dy) 2 + y ² (dy) ² 3 0 = 5x

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Q: Use the method of undetermined coefficients to determine the form of a particular solution to the…

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Q: Solve the differential equation: x? (p? - y ) +y =x* +2xyp

A: For the detailed solution of the problem follow the next steps.

Q: y=xy'-3ey' solve the differential equation

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Q: ta constant distance p from the origin. find the equation of the circle which touches both the axes…

A: All such lines are tangent to the circles of radius p                y=mx+p1+m2⟹   m=dydxBy…