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A nonhomogeneous equation and a particular solution are given. Find a general solution for the equation. y''-y=10t, yp(t)=-10t y(t)=?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.4: Solving Quadratic Equations By Factoring

Problem 59HP

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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A nonhomogeneous equation and a particular solution are given. Find a general solution for the equation.

y''-y=10t, y_p(t)=-10t

y(t)=?

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