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Given yı (t) = t and y2(t) = t satisfy the corresponding homogeneous equation of ty" – 2y = 1– 2t, t > 0 Then the general solution to the nonhomogeneous equation can be written as y(t) = c191(t) + c2y2(t) + Yp(t). Use variation of parameters to find a particular solution y,(t). Yp(t) = Tip: Before you use the formula Y29(t) + y2 W (yı, 42) Y19(t) W (yı, 42)' Yp = - Y1 the ODE should be in the form y'" + a(t)y' + b(t)y = g(t)

Given yı (t) = t and y2(t) = t satisfy the corresponding homogeneous equation of ty" – 2y = 1– 2t, t > 0 Then the general solution to the nonhomogeneous equation can be written as y(t) = c191(t) + c2y2(t) + Yp(t). Use variation of parameters to find a particular solution y,(t). Yp(t) = Tip: Before you use the formula Y29(t) + y2 W (yı, 42) Y19(t) W (yı, 42)' Yp = - Y1 the ODE should be in the form y'" + a(t)y' + b(t)y = g(t)

Advanced Engineering Mathematics
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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Given yı (t) = t and y2(t) = t satisfy the corresponding homogeneous equation of t'y" – 2y = 1 – 2t°, t > 0 Then the general solution to the nonhomogeneous equation can be written as y(t) = c1y1(t) + ©2Y2(t) + Yp(t). Use variation of parameters to find a particular solution yp(t). Y,(t) = Tip: Before you use the formula Y29(t) Yı9(t) JW(n, y2) Yp = - Y1 + y2 W (y1, Y2) the ODE should be in the form y'' + a(t)y' + b(t)y = g(t)
Transcribed Image Text:Given yı (t) = t and y2(t) = t satisfy the corresponding homogeneous equation of t'y" – 2y = 1 – 2t°, t > 0 Then the general solution to the nonhomogeneous equation can be written as y(t) = c1y1(t) + ©2Y2(t) + Yp(t). Use variation of parameters to find a particular solution yp(t). Y,(t) = Tip: Before you use the formula Y29(t) Yı9(t) JW(n, y2) Yp = - Y1 + y2 W (y1, Y2) the ODE should be in the form y'' + a(t)y' + b(t)y = g(t)
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