dT d?T B.i. Solve the differential equation dx? 6x+2, with the conditions = 0 and T(0) = 0. %3D dx x=0 d²y dy ii. Find the particular integral of differential equation 2- cos 7x. %3D .2 dx? dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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quistion 2B is remining

Q2.A.i. Solve the homogeneous differential equation x'dy+(y² + xy}dx=0.
dy
+ y cot x = 2 cos x.
dx
ii. Solve:
d?T
= 6x+ 2, with the conditions
dx?
dT
= 0 and T(0) = 0.
dx |-0
B.i. Solve the differential equation
d²y
ii. Find the particular integral of differential equation 2
dx?
dy
= cos 7x.
dx
Transcribed Image Text:Q2.A.i. Solve the homogeneous differential equation x'dy+(y² + xy}dx=0. dy + y cot x = 2 cos x. dx ii. Solve: d?T = 6x+ 2, with the conditions dx? dT = 0 and T(0) = 0. dx |-0 B.i. Solve the differential equation d²y ii. Find the particular integral of differential equation 2 dx? dy = cos 7x. dx
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