Suppose that yı (x) =x denotes a nontrivial solution of a homogeneous linear second-order differential equation (a) Py+2ry -6y = 0, is defined on an interval I. From a reduction of order method, we know and that the second solution is y2 = yı (x) / e-SP(x)dx -dxp. %3D bi (4)² dx. Use the given formula to find y2. (b) Solve y - 4y = ( - 3) sin 2r, by the method of undetermined coefficients.
Suppose that yı (x) =x denotes a nontrivial solution of a homogeneous linear second-order differential equation (a) Py+2ry -6y = 0, is defined on an interval I. From a reduction of order method, we know and that the second solution is y2 = yı (x) / e-SP(x)dx -dxp. %3D bi (4)² dx. Use the given formula to find y2. (b) Solve y - 4y = ( - 3) sin 2r, by the method of undetermined coefficients.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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