Find the solution of with y(0) = 7 and y'(0) = 6. y" + y − 2y = 54 et

Q: Match the D.E. with a direction field: y' = t+y – 1, , y' = sin(t)sin(y), , y' = 2 – y, , y' = t(2 –…

A: NOTE: Horizontal axis is t-axis  .

Q: Solve. y'' – 36y = et The general solution will be 6t 6t y(t) : cje + c2e +

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Q: Let y = Arcsec (cos² 3x). If y '= == A (B C) D) - 6 tan3x - 3 sin3x - 6 sin3x cos3x N 2 cos3x D and…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

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

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Q: Solve y" + (y')² = 0.

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Q: First, solve the following IVP, y' = (15x + yr1 . 15 , y(0)=1. Then calculate y(12).

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Q: y"" + 3y'' − 4y = 0. Find y . Please check the equation carefully and then start

A: We have given equation y''''+3y''-4y=0   Auxiliary equation of differential equation is  m4+3m2-4=0…

Q: y' = 3x²+y² xy ; given that y(1) = 1 ; solve for y when x = 2

A: The given equation is; y'=(3x2+y2)/xy, y(1)=1.

Q: Find the general solution af the equation, y' = x(1- y).

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

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Q: find sol. y'- y =y2e-x

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Q: Choose the correct answer If x2 + y2 = 9, then y'=...  -y/x  y/x  -x/y  x/y

A: We have to find y'

Q: 2. Use the variation of parameters to solve: y" -2y" + y' = 4e*.

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Q: Solve for y in two ways. y' - 5y = -3

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Q: If xy? - y3 = 5, find y'. y' =

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Q: Solve by undetermined coefficients. y" – 3y' = 6e – 2e", y(0) = 0, y (0) = 0.

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Q: Find y'. y=(4x-4)(2x+1) OA. 16x-2 B. 8x-4 OC. 16x-12 OD. 16x-4

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Q: ル。 dz = 2. For z = -5x* - 6y and a Point P ER' we have dz 23 dy Determine the value of

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Q: Solve for the solution for the equation: (2x²y – 2x³) + (4x³ – 6x²y + 2xy²)y' = 0 with the condition…

A: General solution: The general solution of a differential equation is a solution in which the number…

Q: 1. Find a general solution of the first order equation: y'= 3x²y².

A: The given first order differential equation is solved by method of separation of variable.

Q: Solve for y. y' = 7x + xy; y = 5 when x= 0 y =

A: We have to solve for y for the given differential equation: y'=7x+xy; y=5 when x=0. Rewriting the…

Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/² when x = -1 and y =…

A: Given:- 2x+3y'=y+2x+31/2

Q: Solve for y. y' = 7x + xy​; y = - 4 when x = 0

A: Given,  y'=7x+xy,  y=-4 when x=0

Q: Determine the equation whose y'= Y/3x. 3x2 = y3 A 1 у? y= 3 x2 © x² = y3 1

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Q: 5. Find y'. y = 3x² – 14x + 42

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Q: Find y'. 9) y = (5x-2)(3x + 1)

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Q: Find the first 5 terms of the solution: (x+2)y' - 3x 1 + x + x² ; x₁ = 0

A: Given differential equation is                  x+2 y'-3y=1+x+x2  ;    x0=0    Rewrite the above…

Q: Solve the IVP. (35 53 X' = X with X(0) = - (4).

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Q: Find the general solution by Variation of Parameters. y''+y=3cscx

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Q: If y" = 6x + 2 and y'(1) = 2 and y(1) = 2, find y.

A: If y" = 6x + 2 and y'(1) = 2 and y(1) = 2, find y.