y' – 4y = –1et and y(0) = -2.

Q: x² y' - 2lnx - e2y+4(Inx)/x = 0

A: Given: The given differential equation is x2y'-2lnx-e2y+4lnxx=0

Q: y" -8y' + 16 = 0

A:

Q: "-y = x e* Cos?x

A:

Q: 2x dy 2х. -y = x² - x; y(4) =2 dx

A:

Q: y-3y+2y=2x +sin x+(1+2x)e" +4e* %3D

A:

Q: dy 1. tanxsin2y = sin²x + cos²y - dx

A:

Q: d²y dy e* - 2 + 2y = dx² dx cos(x)

A:

Q: e"(dr+3rde)=0

A: To solve the given differential equations.  e3θ(dr + 3rdθ) = 0.

Q: d³u 2 dr5 d*u - 7- dr4 + 12 d³u dr3

A: The differential equation is given 2d5udr5-7d4udr4+12d3udr3+8d2udr2=0. Here ,s=ddr then equation…

Q: From the differential equation dy = x2 dx, what is the equation of y in terms of x as the curve…

A: Given: dy=x2dx

Q: 4. t dv + (v – v² ln t)dt = 0

A:

Q: Find the general solution of the differential equation.

A: According to the given information it is required to solve the given differential equation:…

Q: y" + 6y' +9 = 0

A: To find solution of the differential equation y"+6y'+9y=0