Find the solution of the given initial value problem: y"+y' = sec(t), y(0) = 11, y'(0) = 5, y"(0) = -6.

Q: y' = (1-x)y²+(2x-1)y-x a special solution of the equation y1(x)=1, Find the general solution of the…

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Q: Solve: y''+ 6y' +5y = 20t + 39 y(0) = - 4, y'(0) = 19 | y(t) =

A: The solution is given as

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

A: Please find attachment

Q: Solve y"+y'-2y=0,y(0)=4,y'(0)=1

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Q: Solve 2y'" + 9y' + 4y = 0, y(0) = 8, y'(0) = 14.5 %3D y(t) =

A: Given 2y"+9y'+4y=0 ; y(0)=8 ; y'(0)=-14.5 We need to solve the given differential equation.

Q: Solve y" – 3y' – 10y = 0, y(0) = – 1, y'(0) = 16 y(t) =

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Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 8 n = 4 (-x¹ + 22x³ -…

A: (a)How large should n be to guarantee that the Trapezoidal Rule approximation  to is accurate to…

Q: Solve y + y = 2y = 0, where y (0) - = 3 and y (0 y(t) =

A: y''+y'-2y=0 Auxiliary eqaution m2+m-2=0

Q: y''-7y +10=0, y(0)= 2 and y'(0) = 4

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

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Q: First, solve the following IVP, y' = (15x + yr1 . 15 , y(0)=1. Then calculate y(12).

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Q: y' = (x - 1)(y-2), y(2) = 4

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Q: Solve y'' + y' — 6y = 0, y(0) = 8, y'(0) y(t) = = - 9

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

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Q: Solve: y''' – 3y'" – 6y' + 8y = 0 %3D y(0) = – 6, y'(0) = - 12, y'"(0) : - 54 %3D y(t) =

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Q: Solve: y'"' + 4y'' + 5y' + 2y = 0 y(0) = 4, y'(0) y(t) = = 4, y''(0) = 5

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Q: Solve for y: y'=7y²², y = 3 when x = 1

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Q: Solve y'' - 4y' + 29y = 0, y(0) = 3, y'(0) = y(t) = 9

A: The given differential equation is; y''-4y'+29y=0, y(0)=3, y'(0)=-9.

Q: Solve y'' + 4y' + 4y = 0, y(0) = 3, y'(0) = y(t) = 9

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Q: Solve y' = 4xy - 2x, y(0) = 20 y(x) =

A: Given: y'=4xy-2x and with the initial condition y0=20 To find the general solution of the given…

Q: Solve y(H) a) Y (6) = y (4) = ? %3D b) y"-y' • 24 ylo)=1;y'(0)=-2 %3D

A: We have to find the solution y(t) from the following  a) y(s)=1s2(s2+1) b) y''-y'=2t, y(0)=1,…

Q: Solve y’’ – 4y' + 40y = 0, y(0) = 2, y'(0) y(t) = = - 2

A: The given differential equation is y''-4y'+40y=0 with y0=2 and y'0=-2. We know that, if auxiliary…

Q: Solve: y''' – 3y'' – 15y' + 125y = 0 - y(0) = 4, y'(0) = 13, у'"(0) — – 94 - y(t)

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Q: Solve for y. y' = 7x + xy; y = 5 when x= 0 y =

A: We have to solve for y for the given differential equation: y'=7x+xy; y=5 when x=0. Rewriting the…

Q: Find the value of a for which the equation y''+a^2y=0 has non trivial solution such that y(0)=y(pi)…

A: Since we have that                  y''+a2y=0                y(0)=y(π)   and y'(0)=y'(π) Then…

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: Solve y'' - 2y' + y = 0, y(0) = — 5, y'(0) = = y(t) = - 8

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Q: y' = y*.x* Find a general solution. find the custom solution so that y(2) = 1.

A: We have to find General and Custom solution of given differential equation.

Q: 5. Solve 2y" - 3y' - 2y = 0; y(0) = 1, y'(0) = -1.

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Q: Solve: y"-6y'+8y= 24t – 58 y(0) = −11, y'(0) = −13 y(t) =

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