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: : H: First Order Linear Form : Differential Equations P (x) and Q (x) Integrating factor (ø) General Solution + P(x)y = Q (x) P(x) = 2 Q (2) = x 1. y = x - 2y + 2y = x O = e2z 4y = 2x – 1 + Ce-2z 2. (25 + 3y) dx – xdy = 0 (A) (B) (C) (D) 3. y = cscx – ycotx (F) (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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Find A,B,C,D,E,F,G,H

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:
:
H:
First Order Linear Form :
Differential Equations
Integrating factor (ø)
General Solution
dy
dz
+ P(г)у — Q(г) Р) аnd Q (г)
P(x)= 2
1. y' = x – 2y
+ 2y = x
dz
O = e2r
4у — 2 — 1 + Се 2г
Q (x) = x
|2. ( + Зу) dx — zdy 3D 0
(A)
(B)
(C)
(D)
3. y'
= Cs a
ycotx
(E)
(F)
(G)
(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: : H: First Order Linear Form : Differential Equations Integrating factor (ø) General Solution dy dz + P(г)у — Q(г) Р) аnd Q (г) P(x)= 2 1. y' = x – 2y + 2y = x dz O = e2r 4у — 2 — 1 + Се 2г Q (x) = x |2. ( + Зу) dx — zdy 3D 0 (A) (B) (C) (D) 3. y' = Cs a ycotx (E) (F) (G) (H)
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