Seatwork For YP f(x)= x² 8x y = C₁ e ³x + Recall: a+bx+cx² + 6 Yp= A + Bx + Cx²+.. p= A + Bx + Cx² + 0x³ -3x Solve y" - 5y' - 24y = x³ Step 1: PCX) to yo y" - sy -24y = 0 m²-5m-24 =0 (m-8)(m + 3) = 0 m= 2, -3 - Case I Y₁ = C₁e³x + C₂ e 3³x + 365 49 55296 2304 x + 5 xả 192 Step 3: Compare ye and YP Check for similar terms Yc = C₁ e ³x + C₂e-³x Yp= A + Bx + Cx² + Dx³ No similar terms Step 4: and step 5 24 bans-
Seatwork For YP f(x)= x² 8x y = C₁ e ³x + Recall: a+bx+cx² + 6 Yp= A + Bx + Cx²+.. p= A + Bx + Cx² + 0x³ -3x Solve y" - 5y' - 24y = x³ Step 1: PCX) to yo y" - sy -24y = 0 m²-5m-24 =0 (m-8)(m + 3) = 0 m= 2, -3 - Case I Y₁ = C₁e³x + C₂ e 3³x + 365 49 55296 2304 x + 5 xả 192 Step 3: Compare ye and YP Check for similar terms Yc = C₁ e ³x + C₂e-³x Yp= A + Bx + Cx² + Dx³ No similar terms Step 4: and step 5 24 bans-
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
100%
![Seatwork
For YP
f(x) = x²
8x
y = C₁ e ³x +
Recall:
a+bx+cx² +
Yp= A + Bx + Cx² +...
p= A + Bx + Cx² + 0x³
-3x
Solve y" - 5y' - 24y = x³
Step 1: F(x) to
yo
y" - sy -24y = 0
m²-5m-24 =0
(m-8)(m + 3) = 0
m= 2, -3 - Case I
Y₁ = C₁e³x + C₂ e ³x
365
49
55296 2304
+
.x + 5 xả
192
Step 3:
Compare ye and
YP
Check for similar terms
Yc = C₁ e ³x + C₂e-³x
Yp= A + Bx + Cx² + Dx³
No similar terms
Step 4: and step 5
24
bans.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff286647f-7afd-40fc-a55b-a97fda5eb47d%2Ffa858ad5-03ce-4d92-880c-d13ad0ecd8bb%2Fmc08t6f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Seatwork
For YP
f(x) = x²
8x
y = C₁ e ³x +
Recall:
a+bx+cx² +
Yp= A + Bx + Cx² +...
p= A + Bx + Cx² + 0x³
-3x
Solve y" - 5y' - 24y = x³
Step 1: F(x) to
yo
y" - sy -24y = 0
m²-5m-24 =0
(m-8)(m + 3) = 0
m= 2, -3 - Case I
Y₁ = C₁e³x + C₂ e ³x
365
49
55296 2304
+
.x + 5 xả
192
Step 3:
Compare ye and
YP
Check for similar terms
Yc = C₁ e ³x + C₂e-³x
Yp= A + Bx + Cx² + Dx³
No similar terms
Step 4: and step 5
24
bans.
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