8. Suppose y1 and y2 are linearly independent, and the Wronskian of them, W(y1, Y2), is identically 0. Is it possible to find a second-order homogeneous differential equation y" + P(x)y' + Q(x)y = 0 with continuous coefficients that admits y1 and y2 as solutions? Why or why not?

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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8.
Suppose y1 and y2 are linearly independent, and the Wronskian of them,
W (y1, Y2), is identically 0. Is it possible to find a second-order homogeneous differential
equation
y" + P(x)y' + Q(x)y= 0
with continuous coefficients that admits yı and y2 as solutions? Why or why not?
Transcribed Image Text:8. Suppose y1 and y2 are linearly independent, and the Wronskian of them, W (y1, Y2), is identically 0. Is it possible to find a second-order homogeneous differential equation y" + P(x)y' + Q(x)y= 0 with continuous coefficients that admits yı and y2 as solutions? Why or why not?
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