Exercise 22 Solve the following inhomogeneous differential equations. Give the general solution and then apply the conditions: a. ÿ- 4y + 3y = t; b. y - 4y = 2 cost; c. ÿ+ 4y+3y=4e-t; d. ÿ + 2y + 6y = 3t sin 2t ; y(0) = 1, y (0) = 0. y(0) = 0, y (0) = 0. y(0) = 0, y (0) = 2. y(0) = 1, y (0) = 2.

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.CR: Chapter 11 Review
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Exercise 22 Solve the following inhomogeneous differential equations. Give the general solution
and then apply the conditions:
a. ÿ- 4y + 3y = t;
b. ÿ- 4y = 2 cost;
c. ÿ+ 4y + 3y = 4e-t;
d. ÿ + 2y + 6y = 3t sin 2t ;
y(0) = 1, y (0) = 0.
y(0) = 0, y (0) = 0.
y(0) = 0, y (0) = 2.
y(0) = 1, y (0) = 2.
Transcribed Image Text:Exercise 22 Solve the following inhomogeneous differential equations. Give the general solution and then apply the conditions: a. ÿ- 4y + 3y = t; b. ÿ- 4y = 2 cost; c. ÿ+ 4y + 3y = 4e-t; d. ÿ + 2y + 6y = 3t sin 2t ; y(0) = 1, y (0) = 0. y(0) = 0, y (0) = 0. y(0) = 0, y (0) = 2. y(0) = 1, y (0) = 2.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,