Problem 4. The homogeneous differential equation 5x²y" + 11xy' + y = 0 has general solution: У a = x + b X 5 The nonhomogeneous equation 5x²y" + 11xy' + y = 72x + 4 has the particular solution: y = 4+6x. By superposition, the general solution of the equation 5x²y" + 11xy' + y = 72x + 4 is У = Find the particular solution with y(1) = 4 y' (1) = 5 У

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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Problem 4.
The homogeneous differential equation
5x²y" + 11xy' + y = 0 has general solution:
У
=
a
x
+
b
x 5
The nonhomogeneous equation
5x²y" + 11xy' + y = 72x + 4 has the
particular solution:
y = 4+6x.
By superposition, the general solution of the
equation 5x²y" + 11xy' + y = 72x + 4 is
У
=
Find the particular solution with
y(1) = 4
y' (1) = 5
У
Transcribed Image Text:Problem 4. The homogeneous differential equation 5x²y" + 11xy' + y = 0 has general solution: У = a x + b x 5 The nonhomogeneous equation 5x²y" + 11xy' + y = 72x + 4 has the particular solution: y = 4+6x. By superposition, the general solution of the equation 5x²y" + 11xy' + y = 72x + 4 is У = Find the particular solution with y(1) = 4 y' (1) = 5 У
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,