For Problems 1–15, solve the given differential equation.
d
y
d
x
+
2
x
1
−
x
2
y
=
4
x
,
−
1
<
x
<
1
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
The instructions say:
For each differential equation in Problems 1–21, find the general solution by finding the homogeneous solution and a particular solution.
The first image below is the problem, the second is the answer. I'm able to get the homogeneous solution but am struggling with getting the particular solution to get to the answer the textbook provides.
Solve the differential equation xdy - ydx = 2x³dx.
A. y = x² + Cx
B. y = x³ + C
C. y = x³ + Cx
D. y = x² + Cx³
. Solve the differential equation
d²y
+ y = csc x
dx2
Chapter 1 Solutions
Differential Equations and Linear Algebra (4th Edition)
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