If y = sin(msinx) then show that (1– x)' y, – xy, + m² y =0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question number 3
asin0
OP
-1
d²y
dx
dx
asin 0
cos ec'e
EXERCISE 4.1
Find indicated derivative in the following.
If y = 2x -4x' +8x² –16 then find y, .
1.
x+3
If y=-
X-2
then find y2.
2.
If y = sin(msinx) then show that (1–x) y, – xy, + m² y =0.
-
If y = e* then find y,.
If y = e then find y,
If y = In sin x then find y,.
2.
y%=log(x+
x+V1+x then show that (1+x² ) y,+ xy = 0,
If v=
3.
4.
5.
6.
Transcribed Image Text:asin0 OP -1 d²y dx dx asin 0 cos ec'e EXERCISE 4.1 Find indicated derivative in the following. If y = 2x -4x' +8x² –16 then find y, . 1. x+3 If y=- X-2 then find y2. 2. If y = sin(msinx) then show that (1–x) y, – xy, + m² y =0. - If y = e* then find y,. If y = e then find y, If y = In sin x then find y,. 2. y%=log(x+ x+V1+x then show that (1+x² ) y,+ xy = 0, If v= 3. 4. 5. 6.
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