TS EAMCET 10 May 2024 Shift 1 Solved Paper

Section: Mathematics

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Question : 79 of 160

Marks: +1, -0

If A and B are arbitrary constants, then the differential equation having y=Ae−x+B‌cos‌x as its general solution is

[TG EAPCET 10 May 2024 Shift 1]

(sin‌x−cos‌x)‌
d2y
dx2
+2‌cos‌x‌
dy
dx
−(sin‌x+cos‌x)y=0
(cos‌x−sin‌x)‌
d2y
dx2
+2‌cos‌x‌
dy
dx
+(sin‌x+cos‌x)y=0
(cos‌x+sin‌x)‌
d2y
dx2
+2‌sin‌x‌
dy
dx
−(sin‌x−cos‌x)y=0
(cos‌x−sin‌x)‌
d2y
dx2
−2‌sin‌x‌
dy
dx
+(cos‌x+sin‌x)y=0

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