Find general solution a) y" - 4y + 3y = 1 + t²b) y" - 4y + 3y = e²t

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a) y" - 4y + 3y = 1+ t² b) y" - 4y+3y=e²t

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

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Question

Find general solution

a) y" - 4y + 3y = 1 + t²
b) y" - 4y + 3y = e²t

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Step 1: here i solve the first differential equation.

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Step 2: here i solve the second differential equation.

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