Q|Solve the differential equation by linear method dy 4 -2(r +1)³= dx %3D (x+1)"

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
Question
Z Differential Equations...
Q|Solve the differential equation by linear method
dy
-2(x +1)³:
dx
4
(x +1)*
Q2) Classify the following D.E to: order, degree, homogeneous, and
linear:
dy
1-
dx
-2y=r 3
dx
.2
dy
2- (2x – y + 4) + (xy – 2y + 5) = 0
dx
3- y =+ cos*)
%3D
4-y -xy +7y=0
5- y"+(v')4+6y2 =3
Solve the differential equation by separating method
dy
- = (3x ² +1).
(2y –1)
dx
given x =1 when y = 2
Q4
Solve the differential equation by homogeneous method
dy
y -x
dx
Transcribed Image Text:Z Differential Equations... Q|Solve the differential equation by linear method dy -2(x +1)³: dx 4 (x +1)* Q2) Classify the following D.E to: order, degree, homogeneous, and linear: dy 1- dx -2y=r 3 dx .2 dy 2- (2x – y + 4) + (xy – 2y + 5) = 0 dx 3- y =+ cos*) %3D 4-y -xy +7y=0 5- y"+(v')4+6y2 =3 Solve the differential equation by separating method dy - = (3x ² +1). (2y –1) dx given x =1 when y = 2 Q4 Solve the differential equation by homogeneous method dy y -x dx
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