The indicated function y,(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-JP(x) dx Y2 = Y1(x) / - (5) as instructed, to find a second solution y,(x). xy" + y' = 0; Y, = In x Y2 =

Q: Xoly-y dx-Jx.ye dxz0

A: Given:            xdy−ydx−x2+y2dx=0

Q: Solve the differential equation by variation of parameteres: y'' + y = sec(x) + tan(x)

A:

Q: (x²+y)dx + dy 0

A: This linear differential equation

Q: d) Solve the differential equation of y"" + 4y' = sec 2x

A:

Q: 1. Find a general solution of the first order equation: y'= 3x²y².

A: The given first order differential equation is solved by method of separation of variable.