Sometimes a change of variable can be used to convert a differential equation y' = f(t, y) into a separable equation. One common change of variable technique is as follows. 1. Consider a differential equation of the form y' = f(at + By + Y), where a, ß, and y are constants. Use the change of variable z = at + By +y to rewrite the differential equation as a separable equation of the form z' = g(z). Solve the initial value problem y' = (t + y)² – 1, y(3) = 5. (a) g(z) =| help (formulas) (b) y(t) =help (formulas)

Q: Solve the differential equation f -e = 2ey by separation of variables.

A: In this question, concept of separation of variables is used. Seperation of Variables The approach…

Q: Determine the order of the differential equation. y' + y = 7y2

A: We have to Determine the order of the differential equation.

Q: Determine whether y = 2x is a solution of the differential equation y'= 6x², a. 6x2- and by'= 6r?…

A: Just take derivative of y and substitute in given differential equation and see if it satisfies the…

Q: 2. 2xy dx + (x2 + y2) dy = 0.

A: Given diffrential equation 2xydx+x2+y2dy = 0 dxdy=-x2+y22xy....(1)

Q: Please show the work!! A large tank contains 200 gallons of brine in which 100 lbs of salt are…

A: