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

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

A: The solution is given as

Q: 8. y"-2y-15y=0 y(0)=5, y'(0)=-3

A:

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

A:

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

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

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

A:

Q: 6. (a) Use the Schröder-Bernstein Theorem to prove that [a, b]| = |(a,b)| for any a, b e R. (b) Use…

A:

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

A:

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

A:

Q: Find y' if x = y*. C Note: Leave your answer in terms of ï and y. y

A:

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

A:

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" - 2y' = xe 4x

A:

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

A:

Q: Find y' y = 3x-2 2x+3

A: Given Functiony=(i) (ii) (iii)

Q: 215 = 32, 768. How many numbers between 0 and 215 are the sum of exactly three powers of 8? Each…

A: We need to find the how many numbers between 0 and 215=(23)5=85 such that the sum of exactly three…

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’ – (y/x) = xy2

A: We have to solve differential equations

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

A:

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

A:

Q: Solve: y""-12y"+45y'-50y = 0 y(0) = −3, y'(0) = −11, y'(0) = -53 y(t) =

A:

Q: Solve y'= 5x¹y², using separation of variables, given the inital condition y(0) = 7. y = E

A:

Q: Solve y’’ – 4y' + 85y = 0, y(0) = 2, y'(0) = y(t) = - 41

A:

Q: Find solution y, of the equation y" +y' -6y = 0.

A: