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Prove that if $y_{1}$ and $y_{2}$ are linearly independent solutions to the homogeneous equation (2), then the functions $y_{3}=y_{1}+y_{2}$ and $y_{4}=y_{1}-y_{2}$ are also linearly independent solutions.

Calculus 3

Chapter 17

Second-Order Differential Equations

Section 1

Second-Order Linear Equations

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Lectures

02:03

Prove that if y1 and y2 ar…

05:00

Consider the equation (∗) …

04:08

Proof Let $\left\{y_{1}, y…

01:07

Verify that the given func…

06:16

Prove that if $\left\{\mat…

02:45

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