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Differential Equations by Pearson
book

Differential Equations by Pearson

by E. Rukmangadachari
May 2024
Intermediate to advanced content levelIntermediate to advanced
472 pages
13h 25m
English
Pearson India
Content preview from Differential Equations by Pearson
3-82 Diff erential Equations
7.
3
2
2
( 6 9) .
x
e
DDy
x
−+ =
Ans:
333
12
log
xxx
yce cxe e x=+
8.
3
()cosec.DDy x+=
Ans:
12 3
cos sin log(cosec cot )
cos logsin sin
yc c xc x x x
xxxx
=+ + +
−−
9.
2
(22) tan.
x
DDyex−+ =
Ans:
12
( cos sin ) cos log(sec tan )
xx
yec xc x e x x x=+− +
3.2.5 Systems of Simultaneous Linear Diff erential
Equations with Constant Coeffi cients
In many applied mathematical problems, we encounter systems of
simultaneous linear differential equations involving two (or more)
dependent variables x and y and one independent variable t, as follows:
12
12
() () ()
() () ()
fDx fDy ft
gDx gDy gt
+=
+=
(3.160)
Where
1212
,,,ffgg
are rational integral functions ...
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Publisher Resources

ISBN: 9781299487406Publisher Website