Find the solution ofthe initial value problem y"-6y'+6y=2u(t-5), y(0),y'(0)=0 where u(t) is the step at t=0.

Q: Use undetermined coefficients to find the particular solution to y'' – 3y' + y = 4t2 + 6t + 5

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Q: Solve y''+2y'+2y=δ(t−1) +U(t−2), y(0) = 2, y′(0) = 1.

A: Given The given differential equation is y"+2y'+2y=δt-1+Ut-2. y0=2, y'0=1. Apply formula Laplace…

Q: y', In(y) 1 y(e) = 1. x² In(x)

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Q: Find the solution to x’(t)=2x(t), x(0)=3

A: We have to solve the above differential equation.

Q: (b)y" = 2y(y'), y(0) = v2, y'(0) = -1 %3D %3D

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Q: Find the solution to y '= 3y satisfying y(2) = 1000.

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Q: P(t)y'' + Q(t)y' + R(t)y = S(t) is this a linear equation?

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Q: Solve: y""-8y"+19y-12y = 0 y(0) = -5, y'(0) = -8, y"(0) = -14 y(t) =

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Q: Find the general and particular solution of the y"=3e³x if f(2)= k and f'(2)=k²

A: y"=3e³x if f(2)= k and f'(2)=k²

Q: Find the particular solution of y' =(2x)/1+2y y(2)=0

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Q: Obtain two linearly independent solutions valid near x = 0  xy" + x(x - 1)y' + (1 - x)y = 0

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Q: the st sub: Z = the + 4x = x²(4t + 3), x(1) = 4.

A: Given differential equationAssume

Q: Solve the IVP 2y"+5y'-3y=0 y(0)=-5 y'(0)=29 y(x)=?

A: The given differential equation is                                                   2y''+5y'-3y=0…

Q: Determine the solution of y' = - given y (0) = 17 ху

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Q: Find the solution: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b

A: We have to find the solution to the given equation.

Q: 3. [32] −1 4-3 4. 5. [. |_3 -4 2 1 2 -1 4,

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Q: kpression for "12 times x."

A: Times means multiplication. Sometimes it is denoted by dot.

Q: Q2) Solve: y" - 5y' +6y=H(t-1), y(0) = 0, y'(0) = 1.

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Q: Solve 4y"+14y+6y= 0, y(0) = 6, y'(0) = -8 y(t) =

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Q: (a) y" – 4y" + y' + 6y 0. (b) y" – y" + 2y' = 0.

A: General solution for the Homogeneous differential equations with constant coefficients

Q: xy' + 2y = 3x, y(1) = 5 %3D

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Q: Solve the initial value problem: x²y"-2xy' +2y=0, y(1)=2, y'(1)=0.

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Q: Solve: x" -x+ 5 y'=t y" - 4 y-2x = -2 with x(0) = y(0) = x'(0) = y'(0) = 0 Let L{x(t)} = U(s) &…

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Q: Use undetermined coefficients to find the particular solution to y'' – y' – by = 2e-2 Y(t) =

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Q: What is the equilibrium solution of the equation y '(t) = 2y - 4? Is itstable or unstable?

A: The equation given is y't=2y-4. To find the equilibrium solution of the equation y't=2y-4.…

Q: (B) Find the general solution of x'y" + xy' -y=x²+1 given that y, = x is a solution of the…

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Q: Find the particular solution to the equation y'' – 8y' + 16y = 4e# ln t Y>(t) = %3D

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Q: Find the longest interval where the initial value problem (t - 3) (t − 3)²y" — sin ty' + guaranteed…

A: Given the differential equationThe objective is to find the largest interval on which the initial…

Q: 2) Find the general solution to 2y" - y' - 6y = 0. Find the particular solution that satisfies y(0)…

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