The particular solution (yp) of the equation y" - 3y' + 2y = 5 e* is yp = -5xe* False True

Q: 2x" 2x' 4x = 2e

A: Given differential equation 2x''−2x'−4x=2e3t.....1 Divide both sides by 2, we get x''−x'−2x=e3t Now,…

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

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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 homogenous equation y'''' - 2y'' - 3y' - 2y = 0

A: Find the auxiliary equation and solve that

Q: Which of the following is the exponential equation of the form y=ab^ x ) that passes through the…

A: A function is a relation which maps each value in its domain to exactly one value in its range. An…

Q: solve y''-y'=xex  using undetermined coefficient. The characteristic equation will be r2-r=0

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Q: find a real root of the equation x-4x-9 0

A: Let f(x)=x3-4x-9 Substitute x=1,2,3 one by one in the function to obtain the corresponding values of…

Q: Solve the given initial-value problem. x -(: 6 9 -1 12 X" X, X(0) =

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Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x

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Q: Find graphically approximate value of the root of the equation an 3 – x = e* - 1.

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Q: Solve the general solution y'=cos2x cosy

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Q: =S = 800 – 2 – 4000 Isolate S to find S* E[800–4000t] Ei+2

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Q: Solve the equation x^2+y^2=4z+3 for x, y, z EZ

A: Given:   x2+y2=4z+3    x , y , z ∈ Z

Q: Why are separable differential equations called "separable"? State an application of these types of…

A: Suppose we have a differential equation involving x and y as variables. Separable differential…

Q: Solve  y'' - 81y = 0

A: You can solve by finding auxiliary equation

Q: How do you solve y'' + 7y' + 6y = te^-t?

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Q: Solve y'= 3y.x² 3 x³ + 2y4

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

Q: Find a particular solution of the equation y4 -y3 - y" - y' - 2y = 8x^5:

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

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Q: Which of the following is the general solution to the equation (2x+9)y" +(2x+7)y-2Y3D0? O a. y=c_1…

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

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Q: 3xy''+y'-y=0 solve the equation

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Q: 4. Differentiate y = 2³-² from first principles.

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

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Q: 3 = 4- 2y + - dx

A: The differential equation is,   The figure below represents the vector field of the differential…