- Check whether each differential equation has the indicated solution. Determine which solutions are general solutions. (a) y" - 2y' + y = x; (b) tI'(t) + I(t) = 1²; (c) y = d4V dt4 y t3-3t1 = c (c₁+c₂a)ex + x + 2 xy' + '; 27x¹ + 256y = 0 d²V +8 +16V = 0; dt² dybala V = c, sin 2t + c₂ cos 2t + cat sin 2t + cat cos 2t
- Check whether each differential equation has the indicated solution. Determine which solutions are general solutions. (a) y" - 2y' + y = x; (b) tI'(t) + I(t) = 1²; (c) y = d4V dt4 y t3-3t1 = c (c₁+c₂a)ex + x + 2 xy' + '; 27x¹ + 256y = 0 d²V +8 +16V = 0; dt² dybala V = c, sin 2t + c₂ cos 2t + cat sin 2t + cat cos 2t
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Check whether each differential equation has the indicated solution. Determine which solutions are
general solutions.
(a) y" - 2y' + y = x;
(b)
tI' (t) + I(t) = 12;
y = xy' +
d²v
dt²
(c)
(d)
I need a clear answer by hand, not by keyboard |
dybala
d4V
dt4
+8
y = (₁ + c₂x)ex + x + 2
t3-3t1 = c
'; 27x¹ + 256y = 0
+16V = 0;
V = c, sin 2t + c₂ cos 2t + cat sin 2t + cat cos 2t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b64caf5-90e7-4022-8a76-610f0f0e1958%2F44dbe3b0-4ccb-412e-93d0-7909c2cea067%2Fhz3txye_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Check whether each differential equation has the indicated solution. Determine which solutions are
general solutions.
(a) y" - 2y' + y = x;
(b)
tI' (t) + I(t) = 12;
y = xy' +
d²v
dt²
(c)
(d)
I need a clear answer by hand, not by keyboard |
dybala
d4V
dt4
+8
y = (₁ + c₂x)ex + x + 2
t3-3t1 = c
'; 27x¹ + 256y = 0
+16V = 0;
V = c, sin 2t + c₂ cos 2t + cat sin 2t + cat cos 2t
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