Consider the following second-order ODE: (d^2 y)/(dx^2 )+2
dy/dx+2y=0 from x = 0 to x = 1.6 with y(0) = -1 and dy/dx(0) = 0.2.
Solve with Euler’s explicit method using h = 0.4. Plot the x-y
curve according to your solution.
1) Solve each of the following differential equations.
a)16y"-8y'+y=0
b) (d^4y)/(dx^4)-13((d^2y)/(dx^2))+36y=0
2) use Variation of Parameters to solve y"+16y=(1/3)csc4t
3) use undetermined coefficients to solve
y"-5y'+4y=3e^(3t)-5e^(2t) with y'(0)=-1 and y(0)=1
4) Explain why the product (A+B)(A-B) not equal A^2-B^2 fro two
NXN matrices A and B. what is the product of (A+B)(A-B)?
Find dy/dx and d^2y/dx^2, and find the slope and concavity (if
possible) at the given value of the parameter. (If an answer does
not exist, enter DNE.)
Parametric
Equations
Point
x = et, y =
e−t
t = 3
dy/dx =
d^2y/dx^2 =
slope =
concavity=
---Select--- concave upward concave downward
neither