6. Find the value o() for a solution o(x) to the initial value problem: y" + y = sec® z; y(0) = 1, y'(0) = }. /2 O V2 O 2/2

Q: 4x y" - 5y + 4y = ¹, y(0) = 0, y'(0) = 10/3 e

A: Please find attachment

Q: * +(x) = 3x6-4 (x-k)² +17, the value of the parameter k for f(x) to be a function pair IS?

A: For f(x) to be a function pair  it needs to be one-to-one, which means that each input value must…

Q: y" +y' – 2y = 4e* – 2x

A: We have the given differential equation is y''+y'-2y=4e-x-2x2     …..(1) The auxiliary equation for…

Q: x²y" − x(x + 2)y' + (x + 2)y = 0, 0 < x

A:

Q: Solve y"+2xy' = X Y(0) =1, y'10) = 2. Use erf(x) in your solution.

A: Given equation is, Now, substituting then,

Q: Solve 2y"+7y'+6y= 0, y(0) = 7, y'(0) = −13 y(t) =

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Q: Solve y'" – 4y' + 20y = – 68e*, y(0) = 0, y'(0) = 0| - y(t) :

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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: Solve the initial value problem given by y' = (x2 + 2y2)/(xy) ,  y(1) = 1 What is the interval of…

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Q: solve the non-homogenous equation y” – 2y’ = t + e^t

A: The given equation is a non-homogeneous second order differential equation. The general solution of…

Q: Solve the initial value problem. Describe the behavior as t approaches positive infinity. y''+2y'+3y…

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Q: Solve y''+ 4y = 8(t – 3), y(0) = y'(0) = 0

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Q: What is the solution of y2 - x2y'=0 with IVP y(1)=1/2 ?

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Q: (2x+1)y' =e", with y(0)=0.

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

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

A:

Q: y' +y = x*y2 , y(2) = -1,x >0 is

A: Given, The initial value problem is,

Q: | 1) Find a function y whose graph passes through the point (1, ) and satisfies x²y' = y.

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Q: Solve y" + 10y' + 25y = 0, y(0) = 4, y'(0) = – 17 %3| y(t) =

A: We have to find the solution of differential equation.

Q: 8. Solve the IVP y" – 2y' + 2y = 0, y(0) = 2 and y'(0) = 0.

A: Solution is y= ex( 2cos x -2 sin x)

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: Consider the initial value problem y′′(x)−19y′(x)+70y(x)=220e^(25x), y(0)=1, y′(0)=25. Check the…

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Q: Find the solution of y" - y" + y' — y = 0, ƒ(0) = 1, ƒ'(0) = 3, ƒ"(0) = 1.

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Q: (1+y').co.(xty) = y.y' find general solution.

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