he indicated function y, (x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-P(x) dx Y2 = Y;(x) / - xp- (5) s instructed, to find a second solution y,(x). x²y" – xy' + 17y = 0; y, = x sin(4 In(x)) 2=

Q: 1) Verify that the indicated function y = −(cos x) ln(secx + tanx) is an explicit solution of the…

A: First we will find y" Then put value of y" and y in   y"+y = tanx If we get  LHS =RHS then it means…

Q: Please help me with this differential equation and identify P(x), Q(x) and v(x).

A: The general form of first order  linear differential equation is shown on board

Q: - Solve the differential equation: y" + y = secxtanx

A:

Q: (x²+y)dx + dy 0

A: This linear differential equation

Q: Solve the exact differential equation ( - 2 sin(x) – y sin(x) + 4 cos(x))dx + (cos(x))dy = 0 where…

A:

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

A:

Q: 5. Find the general solution to the first-order linear differential equation y' : - sin x = xe y cos…

A: Step 1:

Q: nd the solution of the differential equation = Z 3 + sin(z) with i dz

A: Given: dfdz=z-23+sin(z)f(0)=2

Q: Q4: Find the general solution of the differential equation y'+ (tan x)y = sec2 x %3D

A: