′′−144y=4000t^(2)e^(12t)+62. If yp is the particular solution of the equation above obtained by the method of coefficients to be determined, then the value of yp(1/12) is:

Q: Solve the differential equation 8y" + 30y =  6xy'  using appropriate method. Then evaluate the first…

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Q: Solve the given differential equation. dx/dy = -( (4y^2+10xy)/(5y^2+2x) )

A: Given DE is dxdy=-4y2+10xy5y2+2x. Solve the DE as follows.

Q: Solve the ordinary differential equation  2x2y” + 2x2y = 50y - 2xy’ .  Then evaluate the first four…

A: The given problem is to solve the ordinary differential equation and also to evaluate the first four…

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

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Q: Solve the ordinary differential equation 4xy’+ 4x2y = 100y - 4x2y” .  Then evaluate the first three…

A: given ordinary differential equation 4xy'+4x2y=100y-4x2y'' claim- solve the ordinary differential…

Q: Solve the differential equation with appropriate method. Finalize answer equated to y. y' = 2xy - x

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Q: Solve the ordinary differential equation 6x2y” + 6xy’ = 294y - 6x2y . Then evaluate the first four…

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Q: Solve these differential equations d. dy/(√x ln⁡2x )+dx/(y^2 ln⁡y )=0 e. xdx+ (ydx-xdy) cos⁡ (y/x)…

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Q: Evaluate the differential equation dy/dx = 3/x. a. y = In 3x + C b. 3y = In x + C c. e = In x³ + c…

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Q: Solve the ordinary differential equation 3xy" + (2 - x)y' - 2y = 0. Then evaluate the first four…

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Q: Determine the form of a particular solution for the differential equation. Do not solve. y'' + 4y' +…

A: The given differential equation is .To determine the form of the particular solution of the…

Q: Form the differential equation for the function xy = ae2x – be-2x a. xy" – y' = - 4xy O b. xy" – 2y'…

A: The given equation is xy=ae2x-be-2x. Evaluate the differential equation as follows.…

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A: To solve this ordinary differential equation we use substitution method. Then we find y(x)  Then we…

Q: Solve the differential equation by variation of parameteres: 4y'' - y = ex/2  +7

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Q: Solve the given differential equation by undetermined coefficients. у"+у'- 30y %3D2х y(x) =

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Q: Given the differential equation dy _ (4x + y)(x + y) dx x > 0. x² a) Find the general solution of…

A: The given differential equation is                           dydx= 4x+yx+yx2,   x>0 we solve the…

Q: The particular solution when x y' = (x² +1)/(2-y) is: -3 and y = 4 of the differential equation

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Q: Solve the differential equation 2y x + 4 / + = (x +4)" where y = 7 when a = 0. %3D y(z)

A: To solve given initial value problem first we write it of the form of first order linear…

Q: Solve the ordinary differential equation  3xy” + (2 - x)y’ - 2y = 0 . Then evaluate the first three…

A: Given differential equation is 3xy''+(2-x)y'-2y=0                         (1) ⇒y''+2-x3xy'-23xy=0…

Q: Solve the ordinary differential equation 3xy” + (2 - x)y’ - 2y = 0 . Then evaluate the first three…

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Q: x2y'' + 7xy'+ Ay = x^B

A: Given: x2y"+7xy'+Ay=xB

Q: The indicial equation for the differential equation " +7y-5xy 0 is O A. (r+ 7) = 0 O B. P(7r - 1) =…

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Q: Use Variation of Parameters to find the general solution of the differential equation a'y" +a*y" -…

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