ine the second order linear nonhomogeneous differential equation y'' + p (t) y' + q (t) y = g (t) that has the general solution y = c1 e^t + c2 e^2t + e^3t

Q: Determine how the functions M(x,y) and N(x,y) can be found so that the differential equation is…

A: See the attachment

Q: Suppose that fit) is a solution of the differential equation y' = ty -2 and the graph of ft) passes…

A: Slope of f(t) at any point will be same at value of y' at that point. Here finding f is not…

Q: Consider the differential equation y'' + 6y' +9y = 0.

A:

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.