We know that: Theorem (*) If y₁, y₂ are linearly dependent on some interval, and their derivatives y'₁ and y', exist on that interval, then W[y₁, y₂] =0, there if W[y₁, y₂] =0, then: y₁, y₂ are linearly dependent on that interval? That is, the converse theorem of theorem(*) would be true. Study this situation in the following cases: Y₁ (x)=x² Y₂ (x)=x|x|, functions defined at -1

We know that: Theorem () If y₁, y₂ are linearly dependent on some interval, and their derivatives y'₁ and y', exist on that interval, then W[y₁, y₂] =0, there if W[y₁, y₂] =0, then: y₁, y₂ are linearly dependent on that interval? That is, the converse theorem of theorem() would be true. Study this situation in the following cases: Y₁ (x)=x² Y₂ (x)=x|x|, functions defined at -1

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...

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