d²y ii. dx² 3. Determine whether the given function is a solution to the given differential equation. x" x 0, with possible solution x(t) = 2 cost - 3 sin t i. +y=x²+x+1, with possible solution y(x) = sin x+x²+x+1 d20 de iii. dt² dt +30=-2e2t, with possible solution (t) = 2e3t-e2t iv. y" +4y-5ex, with possible solution y(x) = 3 sin 2x - e-x

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I only need 3iii. I have already completed the others. I'm just stuck on this one. 

d²y
ii.
dx²
3. Determine whether the given function is a solution to the given differential equation.
x" x 0, with possible solution x(t) = 2 cost - 3 sin t
i.
+y=x²+x+1, with possible solution y(x) = sin x+x²+x+1
d20
de
iii.
dt²
dt
+30=-2e2t, with possible solution (t) = 2e3t-e2t
iv.
y"
+4y-5ex, with possible solution y(x) = 3 sin 2x - e-x
Transcribed Image Text:d²y ii. dx² 3. Determine whether the given function is a solution to the given differential equation. x" x 0, with possible solution x(t) = 2 cost - 3 sin t i. +y=x²+x+1, with possible solution y(x) = sin x+x²+x+1 d20 de iii. dt² dt +30=-2e2t, with possible solution (t) = 2e3t-e2t iv. y" +4y-5ex, with possible solution y(x) = 3 sin 2x - e-x
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