Classify each in terms of linearity, time invariance, memory (static/dynamic), & causality
(a) y’’(t) + 3y’(t)=2x’(t) + x(t)
(b) y’’(t) + 3y(t)y’(t)=2x’(t) + x(t)
(c) y’’(t) + 3tx(t)y’(t)=2x’(t)
(d) y’’(t) + 3y’(t)=2x2 (t) + x(t+2)
(e) y(t) + 3 = 2x2 (t) + 2x(t)
(f) y(t) = 2x(t+1) + 5
(g) y’’(t) + e-ty’(t) = | x’(t-1) |
(h) y(t) = x2 (t) + 2x(t+1)
(i) y’’(t) + cos(2t)y’(t) = x’(t+1)
(j) y(t) +t 
y(t)dt = 2x(t)
Homework Answers
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Classify each in terms of linearity, time invariance, memory
(static/dynamic), & causality
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BELOW is an example of what the answer should look very similar
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1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
#32
U. + 2y + y + 1 -e: y(0) = 0, y'(o) - 2 In Problems 31-36, determine the form of a particular solution for the differential equation. Do not solve. 31. y" + y = sin : + i cos + + 10' 32. y" - y = 2+ + te? + 1221 x" - x' - 2x = e' cos - + cost y" + 5y' + 6y = sin t - cos 2t 35. y" –...
y(t) is
INCORRECT
but
x(t) is CORRECT
DIFFERENTIAL EQUATIONS / Linear Algebra
Only people that are proficient in DIFFERENTIAL EQUATIONS should
even attempt to solve. No beginners or amateurs allowed.
Please write clearly and legibly. No sloppy Handwriting. I must
be able to clearly and easily read your solution and answer.
Circle final answer.
BELOW is an example of what the answer should look very similar
to. should be in the same form basically.
example
7.10.4 Question Help Use the...
Part A is wrong and I need help
Entered Answer Preview [le^t)/y]+5*cos(5*t)*([-x/(y^2)]+(1/2))+[(6*y/(z^2)]* sin(6*t) 5 +5.2015) (+)+ sino 0.916666666666667 11 12 (1 point) x Suppose w = + where у x = e', y = 2 + sin(5t), and z = 2 + cos(6t). Nie A) Use the chain rule to find was a function of x, y, z, and t. Do not rewrite x, y, and z in terms of t, and do not rewrite e as x. dw dt...
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