What is the general solution of y"'-3 y"+3 y'-y = e* – x-1

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: Solve the equation (9D? + 6DD' + D² )z (e* +e-2»)?

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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: 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: Find the solution. y'• ty ty" © y- (1-c, y- - (1-co")

A: We have to solve y'+ty=ty3 This can be written as: y'+ty=ty3⇒1y3y'+tyy3=t⇒1y3y'+ty2=t⇒1y3dydt+ty2=t…

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

A: Find the auxiliary equation and solve that

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: 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: how did this equation Hx = exp P (ny + ). ož = vi[exp (o,) – 1] turned into this equation 1 In Hy =…

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Q: -4 -3 2 -1 -1 4 -2. -3+ y = x2 - 4 A y = x2 - 4x y = x'- 4 y = 23 4x - ©2021 Illuminate Education…

A: our answer is y=x3-4x

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

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Q: Find y'' for y = 5x +4. 25x2 y'= - O A. 2 (5x? +4) 1 y" = O B. 4 (5x2 + 4) 20 y" = OC. (5x? + 4)…

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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: How to solve for the equation y''' + 4y'' + 5y' + 2y = 4x + 16 using Undetermined Coefficient…

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Q: find dp/ dq. sin q + cos q = cos q

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Q: Score: 2/11 2/11 answered Question 4 Suppose that z varies jointly with x and y. Find the constant…

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Q: 12x5y'' + 8xy + 3y = 6x5 - x

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Q: 5. Solve the equation xydx + (x + 1)dy = 0. ex = cy(x + 1) yex = c(x + 1) c. y = cex(x + 1) d. ye*(x…

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Q: Solve y" + 3y" – 3y' – y = x + e".

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Q: Solve:  y’’’ – 4y’’ + y’ + 6y = 0

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Q: Solve the following equation (1 − x²)y" + 2( (x² − x − 1)y' + - (-x² + 2x + 7-1₁-²2) y = 0

A: Given: The differential equation 1-x2 y''+2 x2-x-1 y'+-x2+2x+7-11-x2 y=0 To find the general…

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: 5. Solve y"" - 6y" + 11y' - 6y = 0

A: The given differential equation is

Q: solve y’’ + y’ – 6y = e2x – 2

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