Problem 2. Consider the equation: x?y"(x)- xy' +y = 0. Given that yı(x) = x is a solution of this equation. Use the method of reduction of order, find the second solution y2(x) of the equation so that and Y2 are linearly independent. (Hint: y2(x) should be given in the form y2(x) = u(x)y1(x). Y1 Substitute it into the equation to find u(x).)
Problem 2. Consider the equation: x?y"(x)- xy' +y = 0. Given that yı(x) = x is a solution of this equation. Use the method of reduction of order, find the second solution y2(x) of the equation so that and Y2 are linearly independent. (Hint: y2(x) should be given in the form y2(x) = u(x)y1(x). Y1 Substitute it into the equation to find u(x).)
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 12CR
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