= xe²* is a solution to y' + ay — e²x = 0... 3. Find the constant a so that (x) = xe² 04 3 O 1 O -1 0-2

Q: Find all solutions of y" = ln x

A: We have to the differential equation.

Q: y" − 4y = 10

A: The given differential equation is y" − 4y = 10. Its auxiliary equation is m2-4=0. Obtain the roots…

Q: (2xy² + 2y) + (2x²y + 2x)y' = 0

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Q: 1. Find all solutions of y' = x ln x

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

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Q: Find the general solution y''-y'-2y=0

A: Given the differential equation y''-y'-2y=0. We need to find the general solution of the above…

Q: 3. y = 1 √x Calculate y'. 1 V3

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Q: 37 The point x= 0 is an ordinary point of the following differential equations except. A. y"-xy'+2y=…

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Q: Solve y'' − 4y' + 4y = 3e2t

A: Solve y'' − 4y' + 4y = 3e2t

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

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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: 4x2y''−8xy'+9y=0, y1=x3/2

A: See the attachment

Q: In Calculus you will see the symbol y'. Treat y' as a variable and solve the equation for y. 6y²y +…

A: To solve the following equation for y'. 6y2y'+30xy+6x2y'=5y2+25xyy'

Q: dx + 2– + x = u(1) x(0) = x'(0) = 1 dt

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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 (2x – 1)3y" + (2x – 1)y' - 2y = 8x? – 2x + 3 %3D |

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Q: Verify that y = x² – 1 is a solution of (y')* + y² = -1. %3D

A: Given;            y=x2-1 is a solution of y'4+y2=-1 We compute the first derivative.…

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

A: Given,  y'=7x+xy,  y=-4 when x=0

Q: Find the second derivative. 3 y = 8x 2 - 4x²³² + 3e*

A: Given a function,y=8x3−4x2+3exTo Find: the second derivative.

Q: what is the answer? y' = e2x + 3y

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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 IVP. (35 53 X' = X with X(0) = - (4).

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Q: y= (2x)(3x+1), find y' none of these answers O 6x+2 O 12x+2 O 12x+3

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Q: Solve for y' 4xy+ y² 2x2 –2y

A: The objective is to solve y'=4xy+y22x2-2y. The equation can be written as, -4x+yy+2x2-2yy2y'=0 The…

Q: Find the general solution to 1 y' +

A: We have to find the general solution of y'+yx=1x4y34 .