(24 points) Find the general solution to each of the following differential equations dy a) =...
4. (24 points) Find the general solution to each of the following differential equations dy a) = e-(x - 2). Over what interval is this solution valid? dx b) y" - 2y + y = (Hint use the method of variation of parameters) 1 + x2 c) y" - 8y' + 177 = 0. Is this solution (i)undamped, (ii) critically damped, (iii) under-damped, or (iv) over-damped?
find general solution y" - 8y' + 17y = 0 is solution undamped, critically damped, over damped, or under damped?
Find the general solution to the system of differential equations: dx/dt = 2x - y dy/dt = 3x - 2y please write legible
Undetermined Coefficients: Find the general solution for the
differential equations.
Find the general solution for the following differential equations. (1) y' - y" – 4y' + 4y = 5 - e* + e-* (2) y" + 2y' + y = x²e- (3) y" - 4y' + 8y = x3; y(0) = 2, y'(0) = 4
MATLAB HELP
(a) Use the command dsolve to find general solutions to the
differential equations below. i. y 00 + 3y = 0 ii. y 00 + 4y 0 +
29y = 0 iii. y 00 − y/36 = 0 iv. y 00 + 2y 0 + y = 0 v. y 00 + 6y 0
+ 5y = 0 (b) Graph each of the solutions in (a) in the same window
with 0 ≤ t ≤ 10, using the...
for
differential equations
1. Identify each of the following differential equations as either Separable, Homogeneous, Linear Bernoulli, or Exact and solve the equation using the method of the type you have identified. Many can be classified in multiple ways, it is not necessary to list all possibilities. (3xy2 +2ycos x)+y'-y sin x-x =0 Туре: A. dx General Solution: B. (4xy+xy)2x+ xy2 dx Туре: General Solution: Туре: C. y'y'y+1 General Solution: (3x'y+e')-(2y-x-xe)dy Туре: D. dx General Solution: Туре: dy E. =y(xy-1)...
1. Find the general solution for each of the following differential equations (10 points each): y" - 2y - 3y = 32 y" - y' - 2y = -2 + 4.2 y" + y' - 6y = 12e3+ + 12e-2x y" - 2y - 3y = 3.re* y" + 2y + y = 2e-* (Hint: you'll use Rule 7. at least once)
find general solution to dy/dx = e^-y(x - 2), what interval is this solution valid over?
Consider the following differential equation.
(x2 − 4)
dy
dx
+ 4y = (x + 2)2
Consider the following differential equation. dy (x2 - 4) dx + 4y = (x + 2)2 Find the coefficient function P(x) when the given differential equation is written in the standard form dy dx + P(x)y = f(x). 4 P(x) = (x2 – 4) Find the integrating factor for the differential equation. SP(x) dx 1 Find the general solution of the given differential equation....
Use the method of variation parameters to find the general solution of the differential equation y" + 8y = 7 csc 9x.