3. Solve the differential equation subject to the given conditions. d² y dx² a) b) d² y dx² +36y= 0, y(0) = 2, y'(0) = 5 12% dx +36y= 0, 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
Problem 15CR
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3. Solve the differential equation subject to the given conditions.
d² y
dx²
a)
b)
c)
d)
d² y
dx²
+36y= 0, y(0) = 2, y'(0) = 5
dy
12- +36y = 0, y(0) = 1, y'(0) = 2
dx
d²y_dy
dx²
dx
d² y
dx²
d'y dy
+
dx²
dx
-12y = 0, y(0) = 1, y(2)=0
- y = 0, y(0) = 4, y'(0) = 2
+ 4y = 0, y(π/4)= 1, y'(π/4) = 3
Transcribed Image Text:3. Solve the differential equation subject to the given conditions. d² y dx² a) b) c) d) d² y dx² +36y= 0, y(0) = 2, y'(0) = 5 dy 12- +36y = 0, y(0) = 1, y'(0) = 2 dx d²y_dy dx² dx d² y dx² d'y dy + dx² dx -12y = 0, y(0) = 1, y(2)=0 - y = 0, y(0) = 4, y'(0) = 2 + 4y = 0, y(π/4)= 1, y'(π/4) = 3
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