4. Consider the one-parameter family of equations: X" + XX = 0 (a) What is the general solution when < 0? Assume X= -µ². (b) What is the general solution when A> 0? Assume A = µ?. (c) Show that the following BVP has only the trivial solution when A= 0: X" +XX = 0, X(0) = 0, X(4) = 0

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4. Consider the one-parameter family of equations:
X" + XX = 0
(a) What is the general solution when A< 0? Assume A = -µ².
(b) What is the general solution when > 0? Assume A= µ².
(c) Show that the following BVP has only the trivial solution when A = 0:
X" + XX = 0,
X (0) = 0, X(4) = 0
Transcribed Image Text:4. Consider the one-parameter family of equations: X" + XX = 0 (a) What is the general solution when A< 0? Assume A = -µ². (b) What is the general solution when > 0? Assume A= µ². (c) Show that the following BVP has only the trivial solution when A = 0: X" + XX = 0, X (0) = 0, X(4) = 0
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