Use the method of Problem 63 to solve the equations in Problems 64 and 65, given that
Question:
Use the method of Problem 63 to solve the equations in Problems 64 and 65, given that y1(x) = x is a solution of each.
Problem 63
The equation dy/dx = A(x)y2 + B(x)y + C(x) is called a Riccati equation. Suppose that one particular solution y1(x) of this equation is known. Show that the substitution
transforms the Riccati equation into the linear equation
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Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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