Consider the second order differential equation у" - 5у' + 6у 0, y(0) = y'(0) = 1 Then Y(s) = s- 4 -s +4 s2 – 5s + 6 s2 – 5s +6 - This option This option 2s – 8 s2 – 5s + 6 This option None of the choices

Q: Solve  y" - 4y' + 3y = 0

A: We have to solve ,  y" - 4y' + 3y = 0  (D2 - 4D + 3)y = 0 The auxiliary equation is  m2 - 4m + 3 = 0

Q: If a and b are integers, then a/b is always a rational number. True False

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Q: Given the differential equation 4y^(IV) - 45y" - 70y' - 24y = 0, what are the roots of its auxiliary…

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Q: 3. у'-4у+3у3D 2 сos x + 4sin x

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Q: y"" - y' = 2e-* - 3e2x when x = 0, y = 1, y'= -1 and y" = 2

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Q: What is the particular solution to the differential equation (1-xy)? + (y² + (1-xy)- )dy = 0 and y =…

A: Givendx1-xy2 + y2 + x21-xy2dy = 0withy(4) = 1

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to -1 √(-2¹ - 122³ - 30x²…

A: Since you have uploaded multiple questions, according to our guidelines we have solved first…

Q: Which of the following most nearly gives the differential equation that is free of arbitrary…

A: The detailed solution is given below Thank you

Q: (2x + 3)y' = y +(2x + 3)/2; when x = –1, y = 0 %3D %3D

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Q: d?y dx3 Solve - 27y=0 O a. y = ce -3x + e7*(c2cos- 3/3 x+C3sin 3/3 -x) 2 Ob. OBy=c,e3x +e"(c,cos 33…

A: We have to solve given problem:

Q: (3x^2 - 2ху + 2)dx + (6y^2 - х^2 + 3)dy 2у^3 + Зу + х^3+x3с O 2y^3 - x^2 y + 2x = c О уз - 2х^2 у +…

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Q: Transform the given differential equation into an ferential equations. equivalent system of…

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Q: y = 3xp +p 0 what is the general solution of the differential equation? dx

A: Given that y=3xp+p,  p=dydx To find the general solution: y=3xp+py=3x+1p Differentiate both sides…

Q: Find general solution 2 1 a' = |-1 0 1 1 1 0

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Q: solve the differenctil equation by undtermeind coefficients y'' +2y = -18x2e2x   y(x) = ?

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Q: Find the general solution: y'- y |arctg2=1.

A: Hello, thanks for your question but according to our policy I am doing the very first question.…

Q: There are 2 pipes connected in a tank which contains 1,000 liters of brine. Brine containing 0.1…

A: Given information ----------------------------------------------------------------- Basic…

Q: What is the differential equation of the solution y = C₁e-9 + С₂xе-9x + С3e7* ? Oy" + 11y" - 45y +…

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Q: The auxiliary equation for the differential equation y" – 4y" – 12y = 0 is Select one: m – 4m2 – 12…

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Q: 4y" + 2y" = e *(x' + 4) + 4e 2- 5x 4 9

A: In this question, we have to find the particular integral for the linear differential equation…

Q: y(4)+3y'''+2y''=12x2 High nonhomogeneous equations

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Q: Match the differential equation with its direction field. y' = 10 - y \ 20 0:34 // 0.2f Q,1 -Q.31…

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Q: Solve y"" - 2y' + y = 0

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Q: One solution of the differential equation is given. Find the general solution. 5x у3) + Зу" - 15у'-…

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Q: Which of the following is the general solution of the equation system dx dt dy 2y x dt x(t) = C,…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve y" -6y"+ 2y' + y = 0 . You may use Mathematica for solving the characterestic equation!

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Q: Find the differential equation by eliminating arbitrary constants "A" and "B" from the family of…

A: The given family of curves                    y=Acos12x+Bsin12x , where A and B are constants.

Q: Suppose you want to find an equation for a curve that passes through the point (1, 2x3 2) and whose…

A: We have to solve the differential equation dydx=2x3y to get the equation of the curve.

Q: Solve the following equation by non-linear equation (In the answer instead of the constants put A…

A: Consider the differential equation y″+yy′=0.Let u=y′.Therefore y″=ddx(u)=dudy×dydx=ududy.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.