Check whether each differential equation has the indicated solution. Determine which solutions are general solutions. (b) tI'(t) + I(t) = 1²; t3-3t1 = c (c) y = xy' + '; 27x¹ + 256y = 0 d4V d²V + 16V = 0; V=c, sin 2t + c₂ cos 2t + cat sin 2t + cat cos 2t dt4 dt2 +8

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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dybala
Check whether each differential equation has the indicated solution. Determine which solutions are
general solutions.
(b) tI'(t) + I(t) = 1²; t3-3t1 = c
(c)
y = xy' + '; 27x¹ + 256y = 0
d²v
+8 + 16V = 0;
dt²
d4V
dt4
V = c, sin 2t + c₂ cos 2t + cat sin 2t + cat cos 2t
Transcribed Image Text:I need a clear answer by hand, not by keyboard | dybala Check whether each differential equation has the indicated solution. Determine which solutions are general solutions. (b) tI'(t) + I(t) = 1²; t3-3t1 = c (c) y = xy' + '; 27x¹ + 256y = 0 d²v +8 + 16V = 0; dt² d4V dt4 V = c, sin 2t + c₂ cos 2t + cat sin 2t + cat cos 2t
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Pearson Addison Wesley,