Find the particular solution of y''-5y'=x-2 when x=0, y=0, y'=2

Q: solve y(4)-3y'''+2y''=e3x  using undetermined coefficient

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Q: Find y'. y = (x² - 2x+2)(2x³ - x²+4) OA. 10x4 - 20x³ + 18x² + 4x-8 OB. 10x4 - 16x³ + 18x² + 4x-8 O…

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Q: (2xy² + 2y) + (2x²y + 2x)y' = 0

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Q: Use undetermined coefficients to find the particular solution to y'' - 3y' + 2y = e(-26-24x)

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Q: Solve a'y' =1-x² + y² - x³y². Final solution must be in an explicit form!

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Q: Solve the equation y''' - y'' - 2y'= 0

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Q: Determine all solutions. y'= (x-y + 3)²

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Q: Solve homogenous equation y'''' - 2y'' - 3y' - 2y = 0

A: Find the auxiliary equation and solve that

Q: 2yy" = 1 + (y')² 2

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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: 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: Solve homogenous equation y'''' - 8y''' + 24y'' - 32y' + 16y = 0

A: y''''-8y'''+2y''-32y'+16y=0  operation form   D4y-8D3y+24D2y-32Dy+16y=0  D4-8D3+24D2-32D+16y=0…

Q: x^2 - xy + y^2 = 3, find y'' Step by step solutions.

A: Given: x2-xy+y2=3 To find y''.

Q: Find a particular solution y'''-y''-4y'+8y=6xe^2x

A: y'''-y''-4y'+8y=6xe^2x Particular integral = 6xe2x 6xe2xD3-D2-4D+8By using property shift F(D) to…

Q: Solve for ‘x’ and ‘y’ where x + y = a – b, ax – by = a2 + b2

A: To solve the equation for x and y.

Q: What is the special solution of the equation y0̅ ? y''' + 5y'' + 12y' + 8y =5sin2x +10x2 - 3x + 7

A: Find the attachment

Q: 31 What is the volume of this cylinder? 6 m 7 m Figure not drawn to scale Use T 3.14 and round your…

A: Given :Diameter of cylinder= 6 mHight of cylinder = 7 m

Q: SOLVE THE ODE y''+9y=xexp(3x) + 6

A: Step 1: Step 2:Step 3:Step 4:

Q: Find the general solution of the DE: y’’’ - 4y’ = 32xe^2x - 24x^2

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Q: Solve:  y’’’ – 4y’’ + y’ + 6y = 0

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Q: Solve  y'' − 2y' + 5y = x2 + 1

A: Solution

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: Use the substitution z = y^2+ t −1 to solve 2yy′= y^2+ t −1

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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 General Solution of y" + y" = 0.

A: Given the differential equation is y"' + y" = 0. Here the auxiliary equation is m3 + m2  = 0