Write the function f(x) = even function 2. 0f₂(x) = 2x-3 f₂(x): F₂(x) f2(x) = -2x³ x<0 2x³ x20 -2x-4 x<0 2x4 x 20 ° f₁(x) = x³ f₂(x) = ±3x³ O f₁(x) = x³ -5x3x<0 x 20 4x³ x 20 f2(x) = 3x3 as the sum of an odd function and an

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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Write the function f(x) =
even function 2.
0 f₁(x) = 2x³
f₂(x)
=
- 21:3
2x3
° 1,00-3²
=
f2(x) =
-2x4x<0
2x4
0 f₁(x) = x³
f₂(x) = ±3x³
0f₂(x) = x³
x<0
x 20
f2(x) =
3.x-3
-5r3x<0
x 20
0
x 20
x<0
as the sum of an odd function f₁ and an
x 20
Transcribed Image Text:Write the function f(x) = even function 2. 0 f₁(x) = 2x³ f₂(x) = - 21:3 2x3 ° 1,00-3² = f2(x) = -2x4x<0 2x4 0 f₁(x) = x³ f₂(x) = ±3x³ 0f₂(x) = x³ x<0 x 20 f2(x) = 3.x-3 -5r3x<0 x 20 0 x 20 x<0 as the sum of an odd function f₁ and an x 20
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