Question

Consider the following differential equation ÿ + 5 ? + 6 y = 12e^-4t + 6t , y(0) = -1 , ?(0) = 0 . The general solution is a. 35e^-2t + 41e^-3t + 12e^-4t + t - 5/6 b. -41e^-2t - 35e^-3t - 6e^-4t + t - 5/6 c. -41e^-2t + 35e^-3t + 6e^-4t + t - 5/6 d. -41e^2t + 35e^3t + 12e^-4t + t + 5/6

          Consider the following differential equation

ÿ + 5 ? + 6 y = 12e^-4t + 6t , y(0) = -1 , ?(0) = 0 .

The general solution is

a.
35e^-2t + 41e^-3t + 12e^-4t + t - 5/6
b.
-41e^-2t - 35e^-3t - 6e^-4t + t - 5/6
c.
-41e^-2t + 35e^-3t + 6e^-4t + t - 5/6
d.
-41e^2t + 35e^3t + 12e^-4t + t + 5/6

Consider the following differential equation

ÿ + 5 ? + 6 y = 12e^-4t + 6t , y(0) = -1 , ?(0) = 0 .

The general solution is

a.
35e^-2t + 41e^-3t + 12e^-4t + t - 5/6
b.
-41e^-2t - 35e^-3t - 6e^-4t + t - 5/6
c.
-41e^-2t + 35e^-3t + 6e^-4t + t - 5/6
d.
-41e^2t + 35e^3t + 12e^-4t + t + 5/6

Added by Cesar L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

05/01/2023

Step 1

This is a linear, homogeneous differential equation with constant coefficients. Show more…

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Consider the following differential equation ÿ + 5 ẏ + 6 y = 12e^-4t + 6t , y(0) = -1 , ẏ(0) = 0 . The general solution is a. 35e^-2t + 41e^-3t + 12e^-4t + t - 5/6 b. -41e^-2t - 35e^-3t - 6e^-4t + t - 5/6 c. -41e^-2t + 35e^-3t + 6e^-4t + t - 5/6 d. -41e^2t + 35e^3t + 12e^-4t + t + 5/6