Solve the following ODE. Be sure to state what type of ODE it is at the beginning. If you perform some trickery to convert the ODE into a different type you should also write what type it has changed into. In short, include every little step (that includes every step in the antiderivatives too. Remember this list.) Your solution must be clear, complete, and detailed. + tan(x) y = sin(2x)
Solve the following ODE. Be sure to state what type of ODE it is at the beginning. If you perform some trickery to convert the ODE into a different type you should also write what type it has changed into. In short, include every little step (that includes every step in the antiderivatives too. Remember this list.) Your solution must be clear, complete, and detailed. + tan(x) y = sin(2x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:fcf(x) dx = cff(x) dx when c is a constant
ff(x) + g(x) dx = f f(x) dx +
g(x) dx
fk dx
fx" dx = 1+¹+C when n ‡ −1
= In x + C
dx = e + C
S=dx
Sex
= kx + C when k is a constant
fb² dx = √b² + C when b>0
In
f sin x da
f cos x dx =
=
f sec² x dx =
csc² x dx
=
sin x + C
cos x + C
tan x + C
f secx tan x dx
fcscx cotx dx
cotx + C
=
secx + C
= csc x + C
S dx = arctanr +C
1
²+1
S da = arcsin x + C
-x:2
f sinh x dx = cosh x + C
sinh and cosh are hyperbolic sine and hyperbolic cosine
f cosh x dx = sinh x + C sinh and cosh are hyperbolic sine and hyperbolic cosine
Transcribed Image Text:Solve the following ODE. Be sure to state what type of ODE it is at the beginning. If you perform some trickery to
convert the ODE into a different type you should also write what type it has changed into. In short, include every little
step (that includes every step in the antiderivatives too. Remember this list.) Your solution must be clear, complete, and
detailed.
+ tan(x) y
=
sin(2x)
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