the answer in the reply box below. Use the format below in answering : A: B: First Order Linear Form: Differential Equations + P(x) y = Q(x) P(x) and Q(x) P(x) = 2 + 2y = x Q(x) = x (A) (B) (F) : H: 1. y = x - 2y 2. (x + 3y) dx - xdy = 0 3. y cscx - ycotx dz (E) Table 4. 1 Integrating factor (6) = 2x (C) (G) General Solution 4y= 22 -1 + Ce-2 (D) (H)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question

 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:
:
Differential Equations
First Order Linear Form:
= Q(x)
P(x) and Q(x)
dy
da
Integrating factor
(ø)
General Solution
+ P(x) y
+ 2y = x
= e2
P(x) = 2
Q(x) = x
(A)
(B)
(C)
H:
1. y = x - 2y
2. (x + 3y) dx - xdy = 0
3. y
-
csc x - ycotx
dy
da
(E)
(F)
Table 4. 1
(G)
4y= 2x1 + Ce-2x
(D)
(H)
Transcribed Image Text: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: : Differential Equations First Order Linear Form: = Q(x) P(x) and Q(x) dy da Integrating factor (ø) General Solution + P(x) y + 2y = x = e2 P(x) = 2 Q(x) = x (A) (B) (C) H: 1. y = x - 2y 2. (x + 3y) dx - xdy = 0 3. y - csc x - ycotx dy da (E) (F) Table 4. 1 (G) 4y= 2x1 + Ce-2x (D) (H)
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