Find the unique solution of the second-order initial value problem. y'' + y' - 20y = 0, y(0) = 3, y'(0) = 21 y(x) =

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

A: The solution is given as

Q: Solve y" + 3y" – 3y' – y = x+ e².

A:

Q: Solve 4y'' + y' – 3y = 0, y(0) = - 4, - 4, y'(0) = 0.5 y(t) =

A: The given differential equation is second order linear homogeneous differential equatio. So firstly…

Q: Solve y" +5y' = (2x+1)e" -5x

A:

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

A:

Q: 3. Solve using any technique y" – 2y/ – 3y = 3e",; 7 ", y(0) = 3, y'(0)

A: We have to solve given problem:

Q: 3. Solve y" – 2y' + 5y = 0, y(0) = 5, y'(0) = –3. %3D

A:

Q: 8.) y" +2y' +5y = 3e 2* ; and y(0) = y'(0) = 1

A:

Q: 8y'' + 4y' +y = 0 solve for y(0) = 0; y'(0)=1

A: Given differential equation is:8y"+4y'+y=0

Q: Solve for y(x):  y’’ – 5y’ + 12y = 0; y(2) = 0; y’(2) = -4

A:

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

A:

Q: Find the first five nonzero terms in the solution to the initial value problem: (2+x2)y"-xy'+4y=0,…

A: Consider the differential equation

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: y = In (x+ v5² +1) 3. Solve the y'" if x = 0.5 using step size of 0.1

A: We approximate the second order derivative using second order central difference approximation.!

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

A:

Q: Solve the initial value problem.    4y^(4) −13y'' + 9y = 0,  y(0) = 1, y'(0) = 3, y''(0) = 1,…

A: The given initial value problem is:

Q: y(4) = y(3) + y" + y + 2y and y(0) = y'(0) = y"(0) = 0, y(3) = 30. %3D

A:

Q: Use undetermined coefficients to find the particular solution to y'' – y' – by = 3e* Y,(t) =|

A: The given differential equation is  y"-y'-6y=3e3t  We have to find the particular solution of the…

Q: find the general solution y' + y/x+3= 1/(x+1)(x+2)

A:

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: The solution of the Bemoulli equation y' +2-Vy= 0 is:

A:

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: Equation in (a) becomes the non-homogenous equation, y'' − 2y' +y = e^2x . Solve the particular…

A:

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: