II. Solve for the general solution of the following differential equations. y' - 5y = 0 cos x tan y dx + sin x sec2 y dy - 0 у'+ 5y%3D 30 (D2 – 6D + 9)y = 0 (D4— 81)у %3 0 (D² – 6D + 25)y= 0 d*y = 0 dx4 y'"- 36y' = 0

Calculus: Early Transcendentals
8th Edition
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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III. Solve for the general solution of the following differential equations.
y' – 5y = 0
cos x tany dx + sin x sec2 y dy – 0
y' + 5y = 30
(D² – 6D + 9)y= 0
%3D
(Dª – 81)y = 0
(D2 – 6D + 25)y = 0
y"– 36y' = 0
dty
dx4
IV. Write the Laplace Transforms
Given f(t)
Laplace Transforms
f(t) = t3 – 4t2+ 5
f(t) = e-5t
f(t) =
= sinh 7t
f(t)
= cos 6t
Transcribed Image Text:III. Solve for the general solution of the following differential equations. y' – 5y = 0 cos x tany dx + sin x sec2 y dy – 0 y' + 5y = 30 (D² – 6D + 9)y= 0 %3D (Dª – 81)y = 0 (D2 – 6D + 25)y = 0 y"– 36y' = 0 dty dx4 IV. Write the Laplace Transforms Given f(t) Laplace Transforms f(t) = t3 – 4t2+ 5 f(t) = e-5t f(t) = = sinh 7t f(t) = cos 6t
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