# Choose the correct option from the given alternatives: The solution of the differential equation dydxxyxdydx=secx-ytanx - Mathematics and Statistics

MCQ

Choose the correct option from the given alternatives:

The solution of the differential equation "dy"/"dx" = sec "x" - "y" tan "x"

#### Options

• y sec x + tan x = c

• y sec x = tan x + c

• sec x + y tan x = c

• sec x = y tan x + c

#### Solution

y sec x = tan x + c

Hint:

"dy"/"dx" = sec "x" - "y" tan "x"

∴ "dy"/"dx" + "y" tan "x" = sec"x"

I.F. = "e"^(int "tan x dx") = "e"^(log sec "x") = sec x

∴ the solution is

"y" * sec"x" = int sec "x" * sec "x" "dx" + "c"

∴ y sec x = tan x + c

Concept: Formation of Differential Equations
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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 6 Differential Equations
Miscellaneous exercise 6 | Q 1.11 | Page 216
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