x²y" − x(x + 2)y' + (x + 2)y = 0, 0

Q: y = V In(5x + 7)

A: In this question, we use the chain rule to find the derivative of the function .

Q: B. Solve x' = 01 1 54 x + 12e4t 18e4t

A:

Q: The value of 52003 mod 7 is? 4 0 3 0 9 O 8 0

A:

Q: Solve the following IVP y"-y'+y/4=0, y(0)=2, y'(0)=1/3

A:

Q: Find all solutions of the equation x2y' = y3 − 5x2y3 explicitly

A:

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

A:

Q: Find the general solution af the equation, y' = x(1- y).

A:

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

A:

Q: The general solution of y' = X У can be written in the form = C

A:

Q: Find the particular solution. y' = e* - 4; y(0) = 3

A: For a differential equation, there are two parts of solution. one is the complimentary function…

Q: Find the general solution to  y''+ y' = 1 + 2sin(2t)

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: 6. Solve the IVP with y(1) = 2 and ty' = 4t² - 2y.

A:

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

A:

Q: Find the solution of with y(0) = 7 and y'(0) = 6. y" + y − 2y = 54 et

A:

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

A:

Q: Find an explicit solution for y′ = ye^−x^2 , y(0) = 1

A: The given differential equation is y'=ye-x2 and the initial condition is y(0)=1. Simplify the given…

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

A:

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

A:

Q: Solve  y'' − 2y' + 5y = x2 + 1

A: Solution