Consider the following linear constant-coefficient homogeneous differential equation d"y dn-ly dy + aoy = d.x + an-1 +...+ a1 0, dxn drn-1 and suppose its auxiliary polynomial is p(r) = r2(r – 1)(r - 2)(r2 + 16)(r² + 10r+61)2. Find the general solution to this differential equation.

Q: You are buying a car. Would you prefer a higher rate for a lower term or a lower rate for a longel…

A: Given that You are buying a car. Would you prefer a higher rate for a lower term or a lower rate for…

Q: dy — 2x(x? — у)dх %3D0

A:

Q: 1. A large tank contains 50 gallons of water into which 5 pounds of salt has been dissolved. A…

A:

Q: dy %3D (x + 1 +ху + у)dx У (0) —D 5

A:

Q: Use an appropriate substitution to solve the equation z15 and find the solution that satisfies y(1)…

A:

Q: dy + y = e0* dx Find the general solution of the differential equation

A: For the differential equation dydx+y=e6x, calculate the integrating factor:  IF=e∫dx    =ex

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.