- First Order Linear Differential Equation Direction: Solve the general solution of the following differential equation using first order linear equation method. Complete the table below by writing the answer in the reply box below. Use the format below in answering: A: B: First Order Linear Form: Differential Equations P(x) and Q(x) Integrating (6) factor General Solution + P(x)y= Q(z) P(x) = 2 e²21 + 2y = x = 4y= 2r-1+ Ce 2z Q(x) = x (D) (B) (A) = 0 : H: 1. 2. 3. y = x - 2y (x5 + 3y) dx = CSC x xdy ycotx dy dr (E) (F) Table 4.1 (C) (G) (H)

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.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 1CR
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Recitation 4
- First Order Linear Differential Equation
Direction: Solve the general solution of the following differential equation using first order linear equation method. Complete the
table below by writing the answer in the reply box below. Use the format below in answering:
A:
B:
First Order Linear
Form:
Differential Equations
P(x) and Q(x)
Integrating
factor (p)
General Solution
+ P(x) y = Q(x)
P(x) = 2
+ 2y = x
= e²r
4y= 22 -1 + Ce 2z
Q(x) = x
(C)
(D)
(B)
(A)
= 0
(F)
Table 4. 1
:
H:
1. y' = x - 2y
(x5 + 3y) dx
= CSC x
2.
3.
xdy
ycotx
dy
(E)
(G)
(H)
Transcribed Image Text:- First Order Linear Differential Equation Direction: Solve the general solution of the following differential equation using first order linear equation method. Complete the table below by writing the answer in the reply box below. Use the format below in answering: A: B: First Order Linear Form: Differential Equations P(x) and Q(x) Integrating factor (p) General Solution + P(x) y = Q(x) P(x) = 2 + 2y = x = e²r 4y= 22 -1 + Ce 2z Q(x) = x (C) (D) (B) (A) = 0 (F) Table 4. 1 : H: 1. y' = x - 2y (x5 + 3y) dx = CSC x 2. 3. xdy ycotx dy (E) (G) (H)
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