Solve the following IVP 3y"-3y'+2y=0, y(0)=2, y'(0)=0

Q: 26. da (x² cos y+ sin 2y) =(ry) x(- sin y y') + (cos y)(2z) + cos 2y - 2y = x-y' +y·1 = %3D %3D dx…

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Q: '= -x+y - 8

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Q: 4 -2) Q:Solve Y"= (;) Y.

A: We have to solve this differential equation.

Q: Solve using indeterminate coefficients y '' + 9y = x ^ (2) e ^ (3x) + 6

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Q: (2xy² + 2y) + (2x²y + 2x)y' = 0

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Q: How to solve this equation y'''-8y"+4y' + 48y= 4x^2+1 using Variation of Parameters

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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 following equation y" – 64y = 0, y(0) = 1, (0) = 8

A: To solve the given differential equation.

Q: 2y" --2y' +2y=6+2e¹/2

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Q: 2yy" = 1 + (y')² 2

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Q: 5) Solve y) - 3y4+3y" - 3y" +2y' = 0.

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Q: Solve y'' − 4y' + 4y = 3e2t

A: Solve y'' − 4y' + 4y = 3e2t

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: solve given IVP showing details of your work,   y^iv  +3y'' -4y=0;  y(0)=3,…

A: solve given IVP showing details of your work,   y^iv  +3y'' -4y=0;  y(0)=3,…

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: 23. (1.4) Solve y +2 = (4x + 2y + 6)-'e2«+v+3.

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Q: Solve  y'' - 81y = 0

A: You can solve by finding auxiliary equation

Q: Find the general solution: 8x^3 y''' + 10x^2 y'' + xy' + y = 5

A: According to the given information it is required to find the general solution of the given…

Q: Solve y'= 3y.x² 3 x³ + 2y4

A: This question can be solved using the concept of linear differential equation.

Q: 3. Solve -4 -2 X' = 3 X+ -Se -11 -2

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

A: Find the attachment

Q: 1 = felan(4x*). sec²(4x²)xde 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: 5. Solve y"" - 6y" + 11y' - 6y = 0

A: The given differential equation is